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Finding the Fourth Proportional to 78,304.65, 108,060.49 and 42,494.66

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Solution

The fourth proportional to 78,304.65, 108,060.49 and 42,494.66 is: 58,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,304.65 : 108,060.49 = 42,494.66 : x
  2. Step 2: Convert to fraction form
    78,304.65/108,060.49 = 42,494.66/x
  3. Step 3: Cross multiply
    78,304.65x = 108,060.49 × 42,494.66
  4. Step 4: Simplify right side
    78,304.65x = 4,591,994,307.87
  5. Step 5: Solve for x
    x = 4,591,994,307.87/78,304.65
  6. Step 6: Final answer
    x = 58,642.68

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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.