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Finding the Fourth Proportional to 83,962.50, 115,830.76 and 56,729.80

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Solution

The fourth proportional to 83,962.50, 115,830.76 and 56,729.80 is: 78,261.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,962.50 : 115,830.76 = 56,729.80 : x
  2. Step 2: Convert to fraction form
    83,962.50/115,830.76 = 56,729.80/x
  3. Step 3: Cross multiply
    83,962.50x = 115,830.76 × 56,729.80
  4. Step 4: Simplify right side
    83,962.50x = 6,571,055,848.65
  5. Step 5: Solve for x
    x = 6,571,055,848.65/83,962.50
  6. Step 6: Final answer
    x = 78,261.79

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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.