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Finding the Fourth Proportional to 112,689, 169,091.82 and 57,285

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Solution

The fourth proportional to 112,689, 169,091.82 and 57,285 is: 85,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,689 : 169,091.82 = 57,285 : x
  2. Step 2: Convert to fraction form
    112,689/169,091.82 = 57,285/x
  3. Step 3: Cross multiply
    112,689x = 169,091.82 × 57,285
  4. Step 4: Simplify right side
    112,689x = 9,686,424,908.70
  5. Step 5: Solve for x
    x = 9,686,424,908.70/112,689
  6. Step 6: Final answer
    x = 85,957.15

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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.