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Finding the Fourth Proportional to 68,375,784.80, 102,563,677.24 and 20,506,728.80

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Solution

The fourth proportional to 68,375,784.80, 102,563,677.24 and 20,506,728.80 is: 30,760,093.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,375,784.80 : 102,563,677.24 = 20,506,728.80 : x
  2. Step 2: Convert to fraction form
    68,375,784.80/102,563,677.24 = 20,506,728.80/x
  3. Step 3: Cross multiply
    68,375,784.80x = 102,563,677.24 × 20,506,728.80
  4. Step 4: Simplify right side
    68,375,784.80x = 2,103,245,513,891,412.50
  5. Step 5: Solve for x
    x = 2,103,245,513,891,412.50/68,375,784.80
  6. Step 6: Final answer
    x = 30,760,093.21

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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.