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Finding the Fourth Proportional to 201,456.64, 278,012.16 and 112,033.28

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Solution

The fourth proportional to 201,456.64, 278,012.16 and 112,033.28 is: 154,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,456.64 : 278,012.16 = 112,033.28 : x
  2. Step 2: Convert to fraction form
    201,456.64/278,012.16 = 112,033.28/x
  3. Step 3: Cross multiply
    201,456.64x = 278,012.16 × 112,033.28
  4. Step 4: Simplify right side
    201,456.64x = 31,146,614,164.68
  5. Step 5: Solve for x
    x = 31,146,614,164.68/201,456.64
  6. Step 6: Final answer
    x = 154,607.04

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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.