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Finding the Fourth Proportional to 83,077.40, 114,641.77 and 49,077.76

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Solution

The fourth proportional to 83,077.40, 114,641.77 and 49,077.76 is: 67,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,077.40 : 114,641.77 = 49,077.76 : x
  2. Step 2: Convert to fraction form
    83,077.40/114,641.77 = 49,077.76/x
  3. Step 3: Cross multiply
    83,077.40x = 114,641.77 × 49,077.76
  4. Step 4: Simplify right side
    83,077.40x = 5,626,360,578.13
  5. Step 5: Solve for x
    x = 5,626,360,578.13/83,077.40
  6. Step 6: Final answer
    x = 67,724.32

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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.