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Finding the Fourth Proportional to 257,886.62, 386,834.70 and 89,412.44

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Solution

The fourth proportional to 257,886.62, 386,834.70 and 89,412.44 is: 134,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,886.62 : 386,834.70 = 89,412.44 : x
  2. Step 2: Convert to fraction form
    257,886.62/386,834.70 = 89,412.44/x
  3. Step 3: Cross multiply
    257,886.62x = 386,834.70 × 89,412.44
  4. Step 4: Simplify right side
    257,886.62x = 34,587,832,804.79
  5. Step 5: Solve for x
    x = 34,587,832,804.79/257,886.62
  6. Step 6: Final answer
    x = 134,120.31

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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.