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Finding the Fourth Proportional to 83,200.80, 114,784.40 and 51,314.40

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Solution

The fourth proportional to 83,200.80, 114,784.40 and 51,314.40 is: 70,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,200.80 : 114,784.40 = 51,314.40 : x
  2. Step 2: Convert to fraction form
    83,200.80/114,784.40 = 51,314.40/x
  3. Step 3: Cross multiply
    83,200.80x = 114,784.40 × 51,314.40
  4. Step 4: Simplify right side
    83,200.80x = 5,890,092,615.36
  5. Step 5: Solve for x
    x = 5,890,092,615.36/83,200.80
  6. Step 6: Final answer
    x = 70,793.70

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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.