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Finding the Fourth Proportional to 201,581.32, 278,193.72 and 115,554.64

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Solution

The fourth proportional to 201,581.32, 278,193.72 and 115,554.64 is: 159,471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,581.32 : 278,193.72 = 115,554.64 : x
  2. Step 2: Convert to fraction form
    201,581.32/278,193.72 = 115,554.64/x
  3. Step 3: Cross multiply
    201,581.32x = 278,193.72 × 115,554.64
  4. Step 4: Simplify right side
    201,581.32x = 32,146,575,164.86
  5. Step 5: Solve for x
    x = 32,146,575,164.86/201,581.32
  6. Step 6: Final answer
    x = 159,471.99

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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.