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Finding the Fourth Proportional to 102,103.29, 153,061.56 and 42,943.14

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Solution

The fourth proportional to 102,103.29, 153,061.56 and 42,943.14 is: 64,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,103.29 : 153,061.56 = 42,943.14 : x
  2. Step 2: Convert to fraction form
    102,103.29/153,061.56 = 42,943.14/x
  3. Step 3: Cross multiply
    102,103.29x = 153,061.56 × 42,943.14
  4. Step 4: Simplify right side
    102,103.29x = 6,572,943,999.70
  5. Step 5: Solve for x
    x = 6,572,943,999.70/102,103.29
  6. Step 6: Final answer
    x = 64,375.44

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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.