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Finding the Fourth Proportional to 83,887.76, 115,670.28 and 64,724.24

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Solution

The fourth proportional to 83,887.76, 115,670.28 and 64,724.24 is: 89,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,887.76 : 115,670.28 = 64,724.24 : x
  2. Step 2: Convert to fraction form
    83,887.76/115,670.28 = 64,724.24/x
  3. Step 3: Cross multiply
    83,887.76x = 115,670.28 × 64,724.24
  4. Step 4: Simplify right side
    83,887.76x = 7,486,670,963.59
  5. Step 5: Solve for x
    x = 7,486,670,963.59/83,887.76
  6. Step 6: Final answer
    x = 89,246.29

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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.