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Finding the Fourth Proportional to 139,787.42, 209,713.92 and 46,293.20

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Solution

The fourth proportional to 139,787.42, 209,713.92 and 46,293.20 is: 69,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,787.42 : 209,713.92 = 46,293.20 : x
  2. Step 2: Convert to fraction form
    139,787.42/209,713.92 = 46,293.20/x
  3. Step 3: Cross multiply
    139,787.42x = 209,713.92 × 46,293.20
  4. Step 4: Simplify right side
    139,787.42x = 9,708,328,441.34
  5. Step 5: Solve for x
    x = 9,708,328,441.34/139,787.42
  6. Step 6: Final answer
    x = 69,450.66

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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.