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Finding the Fourth Proportional to 201,667.78, 278,301.48 and 112,264.90

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Solution

The fourth proportional to 201,667.78, 278,301.48 and 112,264.90 is: 154,925.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,667.78 : 278,301.48 = 112,264.90 : x
  2. Step 2: Convert to fraction form
    201,667.78/278,301.48 = 112,264.90/x
  3. Step 3: Cross multiply
    201,667.78x = 278,301.48 × 112,264.90
  4. Step 4: Simplify right side
    201,667.78x = 31,243,487,822.05
  5. Step 5: Solve for x
    x = 31,243,487,822.05/201,667.78
  6. Step 6: Final answer
    x = 154,925.53

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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.