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Finding the Fourth Proportional to 151,963.92, 209,714.40 and 83,985.30

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Solution

The fourth proportional to 151,963.92, 209,714.40 and 83,985.30 is: 115,902.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,963.92 : 209,714.40 = 83,985.30 : x
  2. Step 2: Convert to fraction form
    151,963.92/209,714.40 = 83,985.30/x
  3. Step 3: Cross multiply
    151,963.92x = 209,714.40 × 83,985.30
  4. Step 4: Simplify right side
    151,963.92x = 17,612,926,798.32
  5. Step 5: Solve for x
    x = 17,612,926,798.32/151,963.92
  6. Step 6: Final answer
    x = 115,902.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.