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Finding the Fourth Proportional to 257,518.46, 386,207.42 and 107,734.47

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Solution

The fourth proportional to 257,518.46, 386,207.42 and 107,734.47 is: 161,572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,518.46 : 386,207.42 = 107,734.47 : x
  2. Step 2: Convert to fraction form
    257,518.46/386,207.42 = 107,734.47/x
  3. Step 3: Cross multiply
    257,518.46x = 386,207.42 × 107,734.47
  4. Step 4: Simplify right side
    257,518.46x = 41,607,851,165.10
  5. Step 5: Solve for x
    x = 41,607,851,165.10/257,518.46
  6. Step 6: Final answer
    x = 161,572.31

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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.