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Finding the Fourth Proportional to 201,856.72, 278,569.80 and 112,438.48

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Solution

The fourth proportional to 201,856.72, 278,569.80 and 112,438.48 is: 155,169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,856.72 : 278,569.80 = 112,438.48 : x
  2. Step 2: Convert to fraction form
    201,856.72/278,569.80 = 112,438.48/x
  3. Step 3: Cross multiply
    201,856.72x = 278,569.80 × 112,438.48
  4. Step 4: Simplify right side
    201,856.72x = 31,321,964,885.90
  5. Step 5: Solve for x
    x = 31,321,964,885.90/201,856.72
  6. Step 6: Final answer
    x = 155,169.29

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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.