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Finding the Fourth Proportional to 66,815.60, 92,148.30 and 47,658.87

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Solution

The fourth proportional to 66,815.60, 92,148.30 and 47,658.87 is: 65,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,815.60 : 92,148.30 = 47,658.87 : x
  2. Step 2: Convert to fraction form
    66,815.60/92,148.30 = 47,658.87/x
  3. Step 3: Cross multiply
    66,815.60x = 92,148.30 × 47,658.87
  4. Step 4: Simplify right side
    66,815.60x = 4,391,683,850.42
  5. Step 5: Solve for x
    x = 4,391,683,850.42/66,815.60
  6. Step 6: Final answer
    x = 65,728.43

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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.