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Finding the Fourth Proportional to 64,874.96, 89,471.54 and 42,205.68

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Solution

The fourth proportional to 64,874.96, 89,471.54 and 42,205.68 is: 58,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,874.96 : 89,471.54 = 42,205.68 : x
  2. Step 2: Convert to fraction form
    64,874.96/89,471.54 = 42,205.68/x
  3. Step 3: Cross multiply
    64,874.96x = 89,471.54 × 42,205.68
  4. Step 4: Simplify right side
    64,874.96x = 3,776,207,306.09
  5. Step 5: Solve for x
    x = 3,776,207,306.09/64,874.96
  6. Step 6: Final answer
    x = 58,207.47

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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.