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Finding the Fourth Proportional to 77,866.20, 107,463.76 and 47,671.84

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Solution

The fourth proportional to 77,866.20, 107,463.76 and 47,671.84 is: 65,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,866.20 : 107,463.76 = 47,671.84 : x
  2. Step 2: Convert to fraction form
    77,866.20/107,463.76 = 47,671.84/x
  3. Step 3: Cross multiply
    77,866.20x = 107,463.76 × 47,671.84
  4. Step 4: Simplify right side
    77,866.20x = 5,122,995,172.52
  5. Step 5: Solve for x
    x = 5,122,995,172.52/77,866.20
  6. Step 6: Final answer
    x = 65,792.28

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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.