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Finding the Fourth Proportional to 68,316, 102,489.14 and 20,937.64

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Solution

The fourth proportional to 68,316, 102,489.14 and 20,937.64 is: 31,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,316 : 102,489.14 = 20,937.64 : x
  2. Step 2: Convert to fraction form
    68,316/102,489.14 = 20,937.64/x
  3. Step 3: Cross multiply
    68,316x = 102,489.14 × 20,937.64
  4. Step 4: Simplify right side
    68,316x = 2,145,880,717.23
  5. Step 5: Solve for x
    x = 2,145,880,717.23/68,316
  6. Step 6: Final answer
    x = 31,411.10

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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.