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Finding the Fourth Proportional to 201,826.50, 278,520.57 and 112,402.50

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Solution

The fourth proportional to 201,826.50, 278,520.57 and 112,402.50 is: 155,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,826.50 : 278,520.57 = 112,402.50 : x
  2. Step 2: Convert to fraction form
    201,826.50/278,520.57 = 112,402.50/x
  3. Step 3: Cross multiply
    201,826.50x = 278,520.57 × 112,402.50
  4. Step 4: Simplify right side
    201,826.50x = 31,306,408,369.43
  5. Step 5: Solve for x
    x = 31,306,408,369.43/201,826.50
  6. Step 6: Final answer
    x = 155,115.45

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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.