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Finding the Fourth Proportional to 78,564.88, 108,418.02 and 42,755.68

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Solution

The fourth proportional to 78,564.88, 108,418.02 and 42,755.68 is: 59,002.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,564.88 : 108,418.02 = 42,755.68 : x
  2. Step 2: Convert to fraction form
    78,564.88/108,418.02 = 42,755.68/x
  3. Step 3: Cross multiply
    78,564.88x = 108,418.02 × 42,755.68
  4. Step 4: Simplify right side
    78,564.88x = 4,635,486,169.35
  5. Step 5: Solve for x
    x = 4,635,486,169.35/78,564.88
  6. Step 6: Final answer
    x = 59,002.01

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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.