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Finding the Fourth Proportional to 101,577.71, 152,384.25 and 42,454.91

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Solution

The fourth proportional to 101,577.71, 152,384.25 and 42,454.91 is: 63,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,577.71 : 152,384.25 = 42,454.91 : x
  2. Step 2: Convert to fraction form
    101,577.71/152,384.25 = 42,454.91/x
  3. Step 3: Cross multiply
    101,577.71x = 152,384.25 × 42,454.91
  4. Step 4: Simplify right side
    101,577.71x = 6,469,459,619.17
  5. Step 5: Solve for x
    x = 6,469,459,619.17/101,577.71
  6. Step 6: Final answer
    x = 63,689.76

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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.