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Finding the Fourth Proportional to 201,859, 278,565.54 and 112,435

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Solution

The fourth proportional to 201,859, 278,565.54 and 112,435 is: 155,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,859 : 278,565.54 = 112,435 : x
  2. Step 2: Convert to fraction form
    201,859/278,565.54 = 112,435/x
  3. Step 3: Cross multiply
    201,859x = 278,565.54 × 112,435
  4. Step 4: Simplify right side
    201,859x = 31,320,516,489.90
  5. Step 5: Solve for x
    x = 31,320,516,489.90/201,859
  6. Step 6: Final answer
    x = 155,160.37

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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.