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Finding the Fourth Proportional to 84,658.10, 126,983.10 and 28,492.70

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Solution

The fourth proportional to 84,658.10, 126,983.10 and 28,492.70 is: 42,737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,658.10 : 126,983.10 = 28,492.70 : x
  2. Step 2: Convert to fraction form
    84,658.10/126,983.10 = 28,492.70/x
  3. Step 3: Cross multiply
    84,658.10x = 126,983.10 × 28,492.70
  4. Step 4: Simplify right side
    84,658.10x = 3,618,091,373.37
  5. Step 5: Solve for x
    x = 3,618,091,373.37/84,658.10
  6. Step 6: Final answer
    x = 42,737.69

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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.