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Finding the Fourth Proportional to 188,647.32, 260,335.48 and 103,765

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Solution

The fourth proportional to 188,647.32, 260,335.48 and 103,765 is: 143,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,647.32 : 260,335.48 = 103,765 : x
  2. Step 2: Convert to fraction form
    188,647.32/260,335.48 = 103,765/x
  3. Step 3: Cross multiply
    188,647.32x = 260,335.48 × 103,765
  4. Step 4: Simplify right side
    188,647.32x = 27,013,711,082.20
  5. Step 5: Solve for x
    x = 27,013,711,082.20/188,647.32
  6. Step 6: Final answer
    x = 143,196.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.