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Finding the Fourth Proportional to 78,565.46, 108,420.26 and 42,755.40

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Solution

The fourth proportional to 78,565.46, 108,420.26 and 42,755.40 is: 59,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,565.46 : 108,420.26 = 42,755.40 : x
  2. Step 2: Convert to fraction form
    78,565.46/108,420.26 = 42,755.40/x
  3. Step 3: Cross multiply
    78,565.46x = 108,420.26 × 42,755.40
  4. Step 4: Simplify right side
    78,565.46x = 4,635,551,370.63
  5. Step 5: Solve for x
    x = 4,635,551,370.63/78,565.46
  6. Step 6: Final answer
    x = 59,002.41

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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.