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Finding the Fourth Proportional to 83,891.90, 115,787.40 and 48,106.10

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Solution

The fourth proportional to 83,891.90, 115,787.40 and 48,106.10 is: 66,395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,891.90 : 115,787.40 = 48,106.10 : x
  2. Step 2: Convert to fraction form
    83,891.90/115,787.40 = 48,106.10/x
  3. Step 3: Cross multiply
    83,891.90x = 115,787.40 × 48,106.10
  4. Step 4: Simplify right side
    83,891.90x = 5,570,080,243.14
  5. Step 5: Solve for x
    x = 5,570,080,243.14/83,891.90
  6. Step 6: Final answer
    x = 66,395.92

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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.