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Finding the Fourth Proportional to 83,726.76, 115,544.98 and 47,928.31

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Solution

The fourth proportional to 83,726.76, 115,544.98 and 47,928.31 is: 66,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,726.76 : 115,544.98 = 47,928.31 : x
  2. Step 2: Convert to fraction form
    83,726.76/115,544.98 = 47,928.31/x
  3. Step 3: Cross multiply
    83,726.76x = 115,544.98 × 47,928.31
  4. Step 4: Simplify right side
    83,726.76x = 5,537,875,391.43
  5. Step 5: Solve for x
    x = 5,537,875,391.43/83,726.76
  6. Step 6: Final answer
    x = 66,142.24

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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.