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Finding the Fourth Proportional to 140,289.30, 210,178.80 and 80,948.70

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Solution

The fourth proportional to 140,289.30, 210,178.80 and 80,948.70 is: 121,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,289.30 : 210,178.80 = 80,948.70 : x
  2. Step 2: Convert to fraction form
    140,289.30/210,178.80 = 80,948.70/x
  3. Step 3: Cross multiply
    140,289.30x = 210,178.80 × 80,948.70
  4. Step 4: Simplify right side
    140,289.30x = 17,013,700,627.56
  5. Step 5: Solve for x
    x = 17,013,700,627.56/140,289.30
  6. Step 6: Final answer
    x = 121,275.83

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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.