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Finding the Fourth Proportional to 204,666.59, 307,032.71 and 86,355.35

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Solution

The fourth proportional to 204,666.59, 307,032.71 and 86,355.35 is: 129,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,666.59 : 307,032.71 = 86,355.35 : x
  2. Step 2: Convert to fraction form
    204,666.59/307,032.71 = 86,355.35/x
  3. Step 3: Cross multiply
    204,666.59x = 307,032.71 × 86,355.35
  4. Step 4: Simplify right side
    204,666.59x = 26,513,917,133.50
  5. Step 5: Solve for x
    x = 26,513,917,133.50/204,666.59
  6. Step 6: Final answer
    x = 129,546.87

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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.