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Finding the Fourth Proportional to 83,509.71, 115,243.55 and 45,269.14

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Solution

The fourth proportional to 83,509.71, 115,243.55 and 45,269.14 is: 62,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,509.71 : 115,243.55 = 45,269.14 : x
  2. Step 2: Convert to fraction form
    83,509.71/115,243.55 = 45,269.14/x
  3. Step 3: Cross multiply
    83,509.71x = 115,243.55 × 45,269.14
  4. Step 4: Simplify right side
    83,509.71x = 5,216,976,167.52
  5. Step 5: Solve for x
    x = 5,216,976,167.52/83,509.71
  6. Step 6: Final answer
    x = 62,471.49

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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.