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Finding the Fourth Proportional to 201,844.75, 278,545.76 and 112,420.75

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Solution

The fourth proportional to 201,844.75, 278,545.76 and 112,420.75 is: 155,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,844.75 : 278,545.76 = 112,420.75 : x
  2. Step 2: Convert to fraction form
    201,844.75/278,545.76 = 112,420.75/x
  3. Step 3: Cross multiply
    201,844.75x = 278,545.76 × 112,420.75
  4. Step 4: Simplify right side
    201,844.75x = 31,314,323,248.52
  5. Step 5: Solve for x
    x = 31,314,323,248.52/201,844.75
  6. Step 6: Final answer
    x = 155,140.64

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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.