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Finding the Fourth Proportional to 257,853.24, 386,895.88 and 139,385.88

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Solution

The fourth proportional to 257,853.24, 386,895.88 and 139,385.88 is: 209,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,853.24 : 386,895.88 = 139,385.88 : x
  2. Step 2: Convert to fraction form
    257,853.24/386,895.88 = 139,385.88/x
  3. Step 3: Cross multiply
    257,853.24x = 386,895.88 × 139,385.88
  4. Step 4: Simplify right side
    257,853.24x = 53,927,822,702.17
  5. Step 5: Solve for x
    x = 53,927,822,702.17/257,853.24
  6. Step 6: Final answer
    x = 209,141.54

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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.