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Finding the Fourth Proportional to 83,983, 115,886.46 and 48,171.16

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Solution

The fourth proportional to 83,983, 115,886.46 and 48,171.16 is: 66,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,983 : 115,886.46 = 48,171.16 : x
  2. Step 2: Convert to fraction form
    83,983/115,886.46 = 48,171.16/x
  3. Step 3: Cross multiply
    83,983x = 115,886.46 × 48,171.16
  4. Step 4: Simplify right side
    83,983x = 5,582,385,206.49
  5. Step 5: Solve for x
    x = 5,582,385,206.49/83,983
  6. Step 6: Final answer
    x = 66,470.42

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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.