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Finding the Fourth Proportional to 257,980.32, 386,972.64 and 71,002.08

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Solution

The fourth proportional to 257,980.32, 386,972.64 and 71,002.08 is: 106,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,980.32 : 386,972.64 = 71,002.08 : x
  2. Step 2: Convert to fraction form
    257,980.32/386,972.64 = 71,002.08/x
  3. Step 3: Cross multiply
    257,980.32x = 386,972.64 × 71,002.08
  4. Step 4: Simplify right side
    257,980.32x = 27,475,862,343.09
  5. Step 5: Solve for x
    x = 27,475,862,343.09/257,980.32
  6. Step 6: Final answer
    x = 106,503.71

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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.