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Finding the Fourth Proportional to 257,668.52, 386,612.95 and 133,097.00

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Solution

The fourth proportional to 257,668.52, 386,612.95 and 133,097.00 is: 199,702.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,668.52 : 386,612.95 = 133,097.00 : x
  2. Step 2: Convert to fraction form
    257,668.52/386,612.95 = 133,097.00/x
  3. Step 3: Cross multiply
    257,668.52x = 386,612.95 × 133,097.00
  4. Step 4: Simplify right side
    257,668.52x = 51,457,024,439.94
  5. Step 5: Solve for x
    x = 51,457,024,439.94/257,668.52
  6. Step 6: Final answer
    x = 199,702.41

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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.