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Finding the Fourth Proportional to 83,218.16, 114,841.74 and 47,407.60

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Solution

The fourth proportional to 83,218.16, 114,841.74 and 47,407.60 is: 65,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,218.16 : 114,841.74 = 47,407.60 : x
  2. Step 2: Convert to fraction form
    83,218.16/114,841.74 = 47,407.60/x
  3. Step 3: Cross multiply
    83,218.16x = 114,841.74 × 47,407.60
  4. Step 4: Simplify right side
    83,218.16x = 5,444,371,273.22
  5. Step 5: Solve for x
    x = 5,444,371,273.22/83,218.16
  6. Step 6: Final answer
    x = 65,422.87

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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.