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Finding the Fourth Proportional to 66,978.62, 92,331.81 and 51,035.42

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Solution

The fourth proportional to 66,978.62, 92,331.81 and 51,035.42 is: 70,353.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,978.62 : 92,331.81 = 51,035.42 : x
  2. Step 2: Convert to fraction form
    66,978.62/92,331.81 = 51,035.42/x
  3. Step 3: Cross multiply
    66,978.62x = 92,331.81 × 51,035.42
  4. Step 4: Simplify right side
    66,978.62x = 4,712,192,702.71
  5. Step 5: Solve for x
    x = 4,712,192,702.71/66,978.62
  6. Step 6: Final answer
    x = 70,353.68

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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.