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Finding the Fourth Proportional to 257,865.42, 386,710.54 and 89,346.42

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Solution

The fourth proportional to 257,865.42, 386,710.54 and 89,346.42 is: 133,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,865.42 : 386,710.54 = 89,346.42 : x
  2. Step 2: Convert to fraction form
    257,865.42/386,710.54 = 89,346.42/x
  3. Step 3: Cross multiply
    257,865.42x = 386,710.54 × 89,346.42
  4. Step 4: Simplify right side
    257,865.42x = 34,551,202,325.27
  5. Step 5: Solve for x
    x = 34,551,202,325.27/257,865.42
  6. Step 6: Final answer
    x = 133,989.28

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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.