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Finding the Fourth Proportional to 137,944.16, 206,928.16 and 38,104.32

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Solution

The fourth proportional to 137,944.16, 206,928.16 and 38,104.32 is: 57,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,944.16 : 206,928.16 = 38,104.32 : x
  2. Step 2: Convert to fraction form
    137,944.16/206,928.16 = 38,104.32/x
  3. Step 3: Cross multiply
    137,944.16x = 206,928.16 × 38,104.32
  4. Step 4: Simplify right side
    137,944.16x = 7,884,856,825.65
  5. Step 5: Solve for x
    x = 7,884,856,825.65/137,944.16
  6. Step 6: Final answer
    x = 57,159.77

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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.