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Finding the Fourth Proportional to 103,872.17, 155,754.90 and 47,663.89

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Solution

The fourth proportional to 103,872.17, 155,754.90 and 47,663.89 is: 71,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,872.17 : 155,754.90 = 47,663.89 : x
  2. Step 2: Convert to fraction form
    103,872.17/155,754.90 = 47,663.89/x
  3. Step 3: Cross multiply
    103,872.17x = 155,754.90 × 47,663.89
  4. Step 4: Simplify right side
    103,872.17x = 7,423,884,907.30
  5. Step 5: Solve for x
    x = 7,423,884,907.30/103,872.17
  6. Step 6: Final answer
    x = 71,471.35

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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.