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Finding the Fourth Proportional to 139,677.12, 209,510.04 and 34,493.40

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Solution

The fourth proportional to 139,677.12, 209,510.04 and 34,493.40 is: 51,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,677.12 : 209,510.04 = 34,493.40 : x
  2. Step 2: Convert to fraction form
    139,677.12/209,510.04 = 34,493.40/x
  3. Step 3: Cross multiply
    139,677.12x = 209,510.04 × 34,493.40
  4. Step 4: Simplify right side
    139,677.12x = 7,226,713,613.74
  5. Step 5: Solve for x
    x = 7,226,713,613.74/139,677.12
  6. Step 6: Final answer
    x = 51,738.71

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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.