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Finding the Fourth Proportional to 139,510.86, 209,100.13 and 97,161.65

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Solution

The fourth proportional to 139,510.86, 209,100.13 and 97,161.65 is: 145,626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,510.86 : 209,100.13 = 97,161.65 : x
  2. Step 2: Convert to fraction form
    139,510.86/209,100.13 = 97,161.65/x
  3. Step 3: Cross multiply
    139,510.86x = 209,100.13 × 97,161.65
  4. Step 4: Simplify right side
    139,510.86x = 20,316,514,276.36
  5. Step 5: Solve for x
    x = 20,316,514,276.36/139,510.86
  6. Step 6: Final answer
    x = 145,626.76

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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.