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Finding the Fourth Proportional to 113,963.60, 170,945.40 and 82,470.80

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Solution

The fourth proportional to 113,963.60, 170,945.40 and 82,470.80 is: 123,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,963.60 : 170,945.40 = 82,470.80 : x
  2. Step 2: Convert to fraction form
    113,963.60/170,945.40 = 82,470.80/x
  3. Step 3: Cross multiply
    113,963.60x = 170,945.40 × 82,470.80
  4. Step 4: Simplify right side
    113,963.60x = 14,098,003,894.32
  5. Step 5: Solve for x
    x = 14,098,003,894.32/113,963.60
  6. Step 6: Final answer
    x = 123,706.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.