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Finding the Fourth Proportional to 78,707.52, 108,616.46 and 42,897.56

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Solution

The fourth proportional to 78,707.52, 108,616.46 and 42,897.56 is: 59,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,707.52 : 108,616.46 = 42,897.56 : x
  2. Step 2: Convert to fraction form
    78,707.52/108,616.46 = 42,897.56/x
  3. Step 3: Cross multiply
    78,707.52x = 108,616.46 × 42,897.56
  4. Step 4: Simplify right side
    78,707.52x = 4,659,381,109.84
  5. Step 5: Solve for x
    x = 4,659,381,109.84/78,707.52
  6. Step 6: Final answer
    x = 59,198.68

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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.