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Finding the Fourth Proportional to 83,889.90, 115,784.64 and 48,104.10

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Solution

The fourth proportional to 83,889.90, 115,784.64 and 48,104.10 is: 66,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,889.90 : 115,784.64 = 48,104.10 : x
  2. Step 2: Convert to fraction form
    83,889.90/115,784.64 = 48,104.10/x
  3. Step 3: Cross multiply
    83,889.90x = 115,784.64 × 48,104.10
  4. Step 4: Simplify right side
    83,889.90x = 5,569,715,901.02
  5. Step 5: Solve for x
    x = 5,569,715,901.02/83,889.90
  6. Step 6: Final answer
    x = 66,393.16

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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.