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Finding the Fourth Proportional to 257,864.42, 386,709.04 and 89,345.42

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Solution

The fourth proportional to 257,864.42, 386,709.04 and 89,345.42 is: 133,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,864.42 : 386,709.04 = 89,345.42 : x
  2. Step 2: Convert to fraction form
    257,864.42/386,709.04 = 89,345.42/x
  3. Step 3: Cross multiply
    257,864.42x = 386,709.04 × 89,345.42
  4. Step 4: Simplify right side
    257,864.42x = 34,550,681,596.60
  5. Step 5: Solve for x
    x = 34,550,681,596.60/257,864.42
  6. Step 6: Final answer
    x = 133,987.78

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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.