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Finding the Fourth Proportional to 83,878.79, 115,755.92 and 48,075.71

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Solution

The fourth proportional to 83,878.79, 115,755.92 and 48,075.71 is: 66,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,878.79 : 115,755.92 = 48,075.71 : x
  2. Step 2: Convert to fraction form
    83,878.79/115,755.92 = 48,075.71/x
  3. Step 3: Cross multiply
    83,878.79x = 115,755.92 × 48,075.71
  4. Step 4: Simplify right side
    83,878.79x = 5,565,048,040.70
  5. Step 5: Solve for x
    x = 5,565,048,040.70/83,878.79
  6. Step 6: Final answer
    x = 66,346.31

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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.