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Finding the Fourth Proportional to 139,471.32, 209,205.15 and 34,291.20

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Solution

The fourth proportional to 139,471.32, 209,205.15 and 34,291.20 is: 51,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,471.32 : 209,205.15 = 34,291.20 : x
  2. Step 2: Convert to fraction form
    139,471.32/209,205.15 = 34,291.20/x
  3. Step 3: Cross multiply
    139,471.32x = 209,205.15 × 34,291.20
  4. Step 4: Simplify right side
    139,471.32x = 7,173,895,639.68
  5. Step 5: Solve for x
    x = 7,173,895,639.68/139,471.32
  6. Step 6: Final answer
    x = 51,436.35

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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.