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Finding the Fourth Proportional to 66,957.76, 92,375.36 and 38,658

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Solution

The fourth proportional to 66,957.76, 92,375.36 and 38,658 is: 53,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,957.76 : 92,375.36 = 38,658 : x
  2. Step 2: Convert to fraction form
    66,957.76/92,375.36 = 38,658/x
  3. Step 3: Cross multiply
    66,957.76x = 92,375.36 × 38,658
  4. Step 4: Simplify right side
    66,957.76x = 3,571,046,666.88
  5. Step 5: Solve for x
    x = 3,571,046,666.88/66,957.76
  6. Step 6: Final answer
    x = 53,332.83

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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.