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Finding the Fourth Proportional to 77,275.80, 115,913.70 and 49,627.80

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Solution

The fourth proportional to 77,275.80, 115,913.70 and 49,627.80 is: 74,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,275.80 : 115,913.70 = 49,627.80 : x
  2. Step 2: Convert to fraction form
    77,275.80/115,913.70 = 49,627.80/x
  3. Step 3: Cross multiply
    77,275.80x = 115,913.70 × 49,627.80
  4. Step 4: Simplify right side
    77,275.80x = 5,752,541,920.86
  5. Step 5: Solve for x
    x = 5,752,541,920.86/77,275.80
  6. Step 6: Final answer
    x = 74,441.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.