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Finding the Fourth Proportional to 139,689.14, 209,540.64 and 39,864.04

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Solution

The fourth proportional to 139,689.14, 209,540.64 and 39,864.04 is: 59,798.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,689.14 : 209,540.64 = 39,864.04 : x
  2. Step 2: Convert to fraction form
    139,689.14/209,540.64 = 39,864.04/x
  3. Step 3: Cross multiply
    139,689.14x = 209,540.64 × 39,864.04
  4. Step 4: Simplify right side
    139,689.14x = 8,353,136,454.59
  5. Step 5: Solve for x
    x = 8,353,136,454.59/139,689.14
  6. Step 6: Final answer
    x = 59,798.04

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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.