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Finding the Fourth Proportional to 265,335.97, 398,167.12 and 105,383.92

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Solution

The fourth proportional to 265,335.97, 398,167.12 and 105,383.92 is: 158,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,335.97 : 398,167.12 = 105,383.92 : x
  2. Step 2: Convert to fraction form
    265,335.97/398,167.12 = 105,383.92/x
  3. Step 3: Cross multiply
    265,335.97x = 398,167.12 × 105,383.92
  4. Step 4: Simplify right side
    265,335.97x = 41,960,411,920.71
  5. Step 5: Solve for x
    x = 41,960,411,920.71/265,335.97
  6. Step 6: Final answer
    x = 158,140.68

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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.