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Finding the Fourth Proportional to 257,333.76, 385,758.72 and 138,827.52

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Solution

The fourth proportional to 257,333.76, 385,758.72 and 138,827.52 is: 208,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,333.76 : 385,758.72 = 138,827.52 : x
  2. Step 2: Convert to fraction form
    257,333.76/385,758.72 = 138,827.52/x
  3. Step 3: Cross multiply
    257,333.76x = 385,758.72 × 138,827.52
  4. Step 4: Simplify right side
    257,333.76x = 53,553,926,415.97
  5. Step 5: Solve for x
    x = 53,553,926,415.97/257,333.76
  6. Step 6: Final answer
    x = 208,110.77

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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.