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Finding the Fourth Proportional to 102,354.84, 153,532.25 and 39,981.60

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Solution

The fourth proportional to 102,354.84, 153,532.25 and 39,981.60 is: 59,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,354.84 : 153,532.25 = 39,981.60 : x
  2. Step 2: Convert to fraction form
    102,354.84/153,532.25 = 39,981.60/x
  3. Step 3: Cross multiply
    102,354.84x = 153,532.25 × 39,981.60
  4. Step 4: Simplify right side
    102,354.84x = 6,138,465,006.60
  5. Step 5: Solve for x
    x = 6,138,465,006.60/102,354.84
  6. Step 6: Final answer
    x = 59,972.40

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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.