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Finding the Fourth Proportional to 82,737.80, 124,106.70 and 78,849.80

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Solution

The fourth proportional to 82,737.80, 124,106.70 and 78,849.80 is: 118,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,737.80 : 124,106.70 = 78,849.80 : x
  2. Step 2: Convert to fraction form
    82,737.80/124,106.70 = 78,849.80/x
  3. Step 3: Cross multiply
    82,737.80x = 124,106.70 × 78,849.80
  4. Step 4: Simplify right side
    82,737.80x = 9,785,788,473.66
  5. Step 5: Solve for x
    x = 9,785,788,473.66/82,737.80
  6. Step 6: Final answer
    x = 118,274.70

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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.