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Finding the Fourth Proportional to 139,462.65, 209,192.13 and 34,282.53

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Solution

The fourth proportional to 139,462.65, 209,192.13 and 34,282.53 is: 51,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,462.65 : 209,192.13 = 34,282.53 : x
  2. Step 2: Convert to fraction form
    139,462.65/209,192.13 = 34,282.53/x
  3. Step 3: Cross multiply
    139,462.65x = 209,192.13 × 34,282.53
  4. Step 4: Simplify right side
    139,462.65x = 7,171,635,472.49
  5. Step 5: Solve for x
    x = 7,171,635,472.49/139,462.65
  6. Step 6: Final answer
    x = 51,423.34

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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.