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Finding the Fourth Proportional to 89,681.50, 123,760.47 and 51,977.62

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Solution

The fourth proportional to 89,681.50, 123,760.47 and 51,977.62 is: 71,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,681.50 : 123,760.47 = 51,977.62 : x
  2. Step 2: Convert to fraction form
    89,681.50/123,760.47 = 51,977.62/x
  3. Step 3: Cross multiply
    89,681.50x = 123,760.47 × 51,977.62
  4. Step 4: Simplify right side
    89,681.50x = 6,432,774,680.68
  5. Step 5: Solve for x
    x = 6,432,774,680.68/89,681.50
  6. Step 6: Final answer
    x = 71,729.12

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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.