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Finding the Fourth Proportional to 213,170.61, 319,680.86 and 70,977.27

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Solution

The fourth proportional to 213,170.61, 319,680.86 and 70,977.27 is: 106,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,170.61 : 319,680.86 = 70,977.27 : x
  2. Step 2: Convert to fraction form
    213,170.61/319,680.86 = 70,977.27/x
  3. Step 3: Cross multiply
    213,170.61x = 319,680.86 × 70,977.27
  4. Step 4: Simplify right side
    213,170.61x = 22,690,074,359.17
  5. Step 5: Solve for x
    x = 22,690,074,359.17/213,170.61
  6. Step 6: Final answer
    x = 106,440.91

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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.