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Finding the Fourth Proportional to 83,458.99, 115,172.16 and 45,217.47

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Solution

The fourth proportional to 83,458.99, 115,172.16 and 45,217.47 is: 62,399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,458.99 : 115,172.16 = 45,217.47 : x
  2. Step 2: Convert to fraction form
    83,458.99/115,172.16 = 45,217.47/x
  3. Step 3: Cross multiply
    83,458.99x = 115,172.16 × 45,217.47
  4. Step 4: Simplify right side
    83,458.99x = 5,207,793,689.64
  5. Step 5: Solve for x
    x = 5,207,793,689.64/83,458.99
  6. Step 6: Final answer
    x = 62,399.44

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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.