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Finding the Fourth Proportional to 205,283.64, 307,979.70 and 86,959.32

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Solution

The fourth proportional to 205,283.64, 307,979.70 and 86,959.32 is: 130,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,283.64 : 307,979.70 = 86,959.32 : x
  2. Step 2: Convert to fraction form
    205,283.64/307,979.70 = 86,959.32/x
  3. Step 3: Cross multiply
    205,283.64x = 307,979.70 × 86,959.32
  4. Step 4: Simplify right side
    205,283.64x = 26,781,705,285.80
  5. Step 5: Solve for x
    x = 26,781,705,285.80/205,283.64
  6. Step 6: Final answer
    x = 130,461.96

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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.