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Finding the Fourth Proportional to 129,082.16, 178,101.96 and 75,336.56

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Solution

The fourth proportional to 129,082.16, 178,101.96 and 75,336.56 is: 103,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,082.16 : 178,101.96 = 75,336.56 : x
  2. Step 2: Convert to fraction form
    129,082.16/178,101.96 = 75,336.56/x
  3. Step 3: Cross multiply
    129,082.16x = 178,101.96 × 75,336.56
  4. Step 4: Simplify right side
    129,082.16x = 13,417,588,995.66
  5. Step 5: Solve for x
    x = 13,417,588,995.66/129,082.16
  6. Step 6: Final answer
    x = 103,946.11

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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.