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Finding the Fourth Proportional to 123,897.42, 170,977.50 and 67,309.20

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Solution

The fourth proportional to 123,897.42, 170,977.50 and 67,309.20 is: 92,886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,897.42 : 170,977.50 = 67,309.20 : x
  2. Step 2: Convert to fraction form
    123,897.42/170,977.50 = 67,309.20/x
  3. Step 3: Cross multiply
    123,897.42x = 170,977.50 × 67,309.20
  4. Step 4: Simplify right side
    123,897.42x = 11,508,358,743
  5. Step 5: Solve for x
    x = 11,508,358,743/123,897.42
  6. Step 6: Final answer
    x = 92,886.19

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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.