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Finding the Fourth Proportional to 139,407.48, 209,198.70 and 130,440.78

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Solution

The fourth proportional to 139,407.48, 209,198.70 and 130,440.78 is: 195,743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,407.48 : 209,198.70 = 130,440.78 : x
  2. Step 2: Convert to fraction form
    139,407.48/209,198.70 = 130,440.78/x
  3. Step 3: Cross multiply
    139,407.48x = 209,198.70 × 130,440.78
  4. Step 4: Simplify right side
    139,407.48x = 27,288,041,602.99
  5. Step 5: Solve for x
    x = 27,288,041,602.99/139,407.48
  6. Step 6: Final answer
    x = 195,743.02

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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.