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Finding the Fourth Proportional to 201,656, 278,285.28 and 112,253.12

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Solution

The fourth proportional to 201,656, 278,285.28 and 112,253.12 is: 154,909.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,656 : 278,285.28 = 112,253.12 : x
  2. Step 2: Convert to fraction form
    201,656/278,285.28 = 112,253.12/x
  3. Step 3: Cross multiply
    201,656x = 278,285.28 × 112,253.12
  4. Step 4: Simplify right side
    201,656x = 31,238,390,930.07
  5. Step 5: Solve for x
    x = 31,238,390,930.07/201,656
  6. Step 6: Final answer
    x = 154,909.31

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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.