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Finding the Fourth Proportional to 257,077.74, 385,695.36 and 115,042.53

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Solution

The fourth proportional to 257,077.74, 385,695.36 and 115,042.53 is: 172,599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,077.74 : 385,695.36 = 115,042.53 : x
  2. Step 2: Convert to fraction form
    257,077.74/385,695.36 = 115,042.53/x
  3. Step 3: Cross multiply
    257,077.74x = 385,695.36 × 115,042.53
  4. Step 4: Simplify right side
    257,077.74x = 44,371,370,023.66
  5. Step 5: Solve for x
    x = 44,371,370,023.66/257,077.74
  6. Step 6: Final answer
    x = 172,599.04

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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.