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Finding the Fourth Proportional to 64,539.32, 89,002.24 and 41,870

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Solution

The fourth proportional to 64,539.32, 89,002.24 and 41,870 is: 57,740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,539.32 : 89,002.24 = 41,870 : x
  2. Step 2: Convert to fraction form
    64,539.32/89,002.24 = 41,870/x
  3. Step 3: Cross multiply
    64,539.32x = 89,002.24 × 41,870
  4. Step 4: Simplify right side
    64,539.32x = 3,726,523,788.80
  5. Step 5: Solve for x
    x = 3,726,523,788.80/64,539.32
  6. Step 6: Final answer
    x = 57,740.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.