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Finding the Fourth Proportional to 81,989.64, 123,122.70 and 77,780.88

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Solution

The fourth proportional to 81,989.64, 123,122.70 and 77,780.88 is: 116,802.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,989.64 : 123,122.70 = 77,780.88 : x
  2. Step 2: Convert to fraction form
    81,989.64/123,122.70 = 77,780.88/x
  3. Step 3: Cross multiply
    81,989.64x = 123,122.70 × 77,780.88
  4. Step 4: Simplify right side
    81,989.64x = 9,576,591,953.98
  5. Step 5: Solve for x
    x = 9,576,591,953.98/81,989.64
  6. Step 6: Final answer
    x = 116,802.46

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1.5x scale

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.