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Finding the Fourth Proportional to 78,788.72, 108,729.13 and 42,978.89

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Solution

The fourth proportional to 78,788.72, 108,729.13 and 42,978.89 is: 59,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,788.72 : 108,729.13 = 42,978.89 : x
  2. Step 2: Convert to fraction form
    78,788.72/108,729.13 = 42,978.89/x
  3. Step 3: Cross multiply
    78,788.72x = 108,729.13 × 42,978.89
  4. Step 4: Simplify right side
    78,788.72x = 4,673,057,318.07
  5. Step 5: Solve for x
    x = 4,673,057,318.07/78,788.72
  6. Step 6: Final answer
    x = 59,311.25

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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.