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Finding the Fourth Proportional to 257,306.68, 355,082.70 and 144,127

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Solution

The fourth proportional to 257,306.68, 355,082.70 and 144,127 is: 198,894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,306.68 : 355,082.70 = 144,127 : x
  2. Step 2: Convert to fraction form
    257,306.68/355,082.70 = 144,127/x
  3. Step 3: Cross multiply
    257,306.68x = 355,082.70 × 144,127
  4. Step 4: Simplify right side
    257,306.68x = 51,177,004,302.90
  5. Step 5: Solve for x
    x = 51,177,004,302.90/257,306.68
  6. Step 6: Final answer
    x = 198,894.97

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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.