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Finding the Fourth Proportional to 78,657.62, 108,549.46 and 42,849.52

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Solution

The fourth proportional to 78,657.62, 108,549.46 and 42,849.52 is: 59,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,657.62 : 108,549.46 = 42,849.52 : x
  2. Step 2: Convert to fraction form
    78,657.62/108,549.46 = 42,849.52/x
  3. Step 3: Cross multiply
    78,657.62x = 108,549.46 × 42,849.52
  4. Step 4: Simplify right side
    78,657.62x = 4,651,292,257.26
  5. Step 5: Solve for x
    x = 4,651,292,257.26/78,657.62
  6. Step 6: Final answer
    x = 59,133.40

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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.