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Finding the Fourth Proportional to 68,270,628.80, 102,420,688.80 and 20,406,411.20

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Solution

The fourth proportional to 68,270,628.80, 102,420,688.80 and 20,406,411.20 is: 30,614,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,270,628.80 : 102,420,688.80 = 20,406,411.20 : x
  2. Step 2: Convert to fraction form
    68,270,628.80/102,420,688.80 = 20,406,411.20/x
  3. Step 3: Cross multiply
    68,270,628.80x = 102,420,688.80 × 20,406,411.20
  4. Step 4: Simplify right side
    68,270,628.80x = 2,090,038,691,040,034.50
  5. Step 5: Solve for x
    x = 2,090,038,691,040,034.50/68,270,628.80
  6. Step 6: Final answer
    x = 30,614,024.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.