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Finding the Fourth Proportional to 84,815.64, 126,981.54 and 67,311

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Solution

The fourth proportional to 84,815.64, 126,981.54 and 67,311 is: 100,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,815.64 : 126,981.54 = 67,311 : x
  2. Step 2: Convert to fraction form
    84,815.64/126,981.54 = 67,311/x
  3. Step 3: Cross multiply
    84,815.64x = 126,981.54 × 67,311
  4. Step 4: Simplify right side
    84,815.64x = 8,547,254,438.94
  5. Step 5: Solve for x
    x = 8,547,254,438.94/84,815.64
  6. Step 6: Final answer
    x = 100,774.51

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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.