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Finding the Fourth Proportional to 83,530.80, 115,275.60 and 47,725.20

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Solution

The fourth proportional to 83,530.80, 115,275.60 and 47,725.20 is: 65,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,530.80 : 115,275.60 = 47,725.20 : x
  2. Step 2: Convert to fraction form
    83,530.80/115,275.60 = 47,725.20/x
  3. Step 3: Cross multiply
    83,530.80x = 115,275.60 × 47,725.20
  4. Step 4: Simplify right side
    83,530.80x = 5,501,551,065.12
  5. Step 5: Solve for x
    x = 5,501,551,065.12/83,530.80
  6. Step 6: Final answer
    x = 65,862.54

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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.