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Finding the Fourth Proportional to 83,612.64, 115,391.44 and 47,801.72

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Solution

The fourth proportional to 83,612.64, 115,391.44 and 47,801.72 is: 65,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,612.64 : 115,391.44 = 47,801.72 : x
  2. Step 2: Convert to fraction form
    83,612.64/115,391.44 = 47,801.72/x
  3. Step 3: Cross multiply
    83,612.64x = 115,391.44 × 47,801.72
  4. Step 4: Simplify right side
    83,612.64x = 5,515,909,305.28
  5. Step 5: Solve for x
    x = 5,515,909,305.28/83,612.64
  6. Step 6: Final answer
    x = 65,969.80

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1.5x scale

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.