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Finding the Fourth Proportional to 257,581.86, 355,429.11 and 142,859.13

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Solution

The fourth proportional to 257,581.86, 355,429.11 and 142,859.13 is: 197,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,581.86 : 355,429.11 = 142,859.13 : x
  2. Step 2: Convert to fraction form
    257,581.86/355,429.11 = 142,859.13/x
  3. Step 3: Cross multiply
    257,581.86x = 355,429.11 × 142,859.13
  4. Step 4: Simplify right side
    257,581.86x = 50,776,293,431.27
  5. Step 5: Solve for x
    x = 50,776,293,431.27/257,581.86
  6. Step 6: Final answer
    x = 197,126.82

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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.