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Finding the Fourth Proportional to 85,787.52, 118,419.84 and 83,420.16

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Solution

The fourth proportional to 85,787.52, 118,419.84 and 83,420.16 is: 115,151.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,787.52 : 118,419.84 = 83,420.16 : x
  2. Step 2: Convert to fraction form
    85,787.52/118,419.84 = 83,420.16/x
  3. Step 3: Cross multiply
    85,787.52x = 118,419.84 × 83,420.16
  4. Step 4: Simplify right side
    85,787.52x = 9,878,601,999.97
  5. Step 5: Solve for x
    x = 9,878,601,999.97/85,787.52
  6. Step 6: Final answer
    x = 115,151.97

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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.