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Finding the Fourth Proportional to 101,629.32, 152,419.47 and 42,432.90

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Solution

The fourth proportional to 101,629.32, 152,419.47 and 42,432.90 is: 63,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,629.32 : 152,419.47 = 42,432.90 : x
  2. Step 2: Convert to fraction form
    101,629.32/152,419.47 = 42,432.90/x
  3. Step 3: Cross multiply
    101,629.32x = 152,419.47 × 42,432.90
  4. Step 4: Simplify right side
    101,629.32x = 6,467,599,154.30
  5. Step 5: Solve for x
    x = 6,467,599,154.30/101,629.32
  6. Step 6: Final answer
    x = 63,639.11

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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.