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Finding the Fourth Proportional to 77,640.80, 107,113.20 and 48,951.02

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Solution

The fourth proportional to 77,640.80, 107,113.20 and 48,951.02 is: 67,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,640.80 : 107,113.20 = 48,951.02 : x
  2. Step 2: Convert to fraction form
    77,640.80/107,113.20 = 48,951.02/x
  3. Step 3: Cross multiply
    77,640.80x = 107,113.20 × 48,951.02
  4. Step 4: Simplify right side
    77,640.80x = 5,243,300,395.46
  5. Step 5: Solve for x
    x = 5,243,300,395.46/77,640.80
  6. Step 6: Final answer
    x = 67,532.80

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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.