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Finding the Fourth Proportional to 83,886.64, 115,762.10 and 45,644.90

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Solution

The fourth proportional to 83,886.64, 115,762.10 and 45,644.90 is: 62,989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,886.64 : 115,762.10 = 45,644.90 : x
  2. Step 2: Convert to fraction form
    83,886.64/115,762.10 = 45,644.90/x
  3. Step 3: Cross multiply
    83,886.64x = 115,762.10 × 45,644.90
  4. Step 4: Simplify right side
    83,886.64x = 5,283,948,671.26
  5. Step 5: Solve for x
    x = 5,283,948,671.26/83,886.64
  6. Step 6: Final answer
    x = 62,989.16

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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.