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Finding the Fourth Proportional to 257,420.38, 386,126.42 and 79,927.56

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Solution

The fourth proportional to 257,420.38, 386,126.42 and 79,927.56 is: 119,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,420.38 : 386,126.42 = 79,927.56 : x
  2. Step 2: Convert to fraction form
    257,420.38/386,126.42 = 79,927.56/x
  3. Step 3: Cross multiply
    257,420.38x = 386,126.42 × 79,927.56
  4. Step 4: Simplify right side
    257,420.38x = 30,862,142,602.14
  5. Step 5: Solve for x
    x = 30,862,142,602.14/257,420.38
  6. Step 6: Final answer
    x = 119,890.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.