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Finding the Fourth Proportional to 138,595.32, 207,870.30 and 49,832.28

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Solution

The fourth proportional to 138,595.32, 207,870.30 and 49,832.28 is: 74,740.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,595.32 : 207,870.30 = 49,832.28 : x
  2. Step 2: Convert to fraction form
    138,595.32/207,870.30 = 49,832.28/x
  3. Step 3: Cross multiply
    138,595.32x = 207,870.30 × 49,832.28
  4. Step 4: Simplify right side
    138,595.32x = 10,358,650,993.28
  5. Step 5: Solve for x
    x = 10,358,650,993.28/138,595.32
  6. Step 6: Final answer
    x = 74,740.27

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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.