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Finding the Fourth Proportional to 83,422.80, 115,124.40 and 47,617.56

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Solution

The fourth proportional to 83,422.80, 115,124.40 and 47,617.56 is: 65,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,422.80 : 115,124.40 = 47,617.56 : x
  2. Step 2: Convert to fraction form
    83,422.80/115,124.40 = 47,617.56/x
  3. Step 3: Cross multiply
    83,422.80x = 115,124.40 × 47,617.56
  4. Step 4: Simplify right side
    83,422.80x = 5,481,943,024.46
  5. Step 5: Solve for x
    x = 5,481,943,024.46/83,422.80
  6. Step 6: Final answer
    x = 65,712.77

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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.