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Finding the Fourth Proportional to 83,340, 115,010.28 and 45,613.44

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Solution

The fourth proportional to 83,340, 115,010.28 and 45,613.44 is: 62,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,340 : 115,010.28 = 45,613.44 : x
  2. Step 2: Convert to fraction form
    83,340/115,010.28 = 45,613.44/x
  3. Step 3: Cross multiply
    83,340x = 115,010.28 × 45,613.44
  4. Step 4: Simplify right side
    83,340x = 5,246,014,506.16
  5. Step 5: Solve for x
    x = 5,246,014,506.16/83,340
  6. Step 6: Final answer
    x = 62,947.14

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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.