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Finding the Fourth Proportional to 235,789.31, 353,692.17 and 78,013.67

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Solution

The fourth proportional to 235,789.31, 353,692.17 and 78,013.67 is: 117,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,789.31 : 353,692.17 = 78,013.67 : x
  2. Step 2: Convert to fraction form
    235,789.31/353,692.17 = 78,013.67/x
  3. Step 3: Cross multiply
    235,789.31x = 353,692.17 × 78,013.67
  4. Step 4: Simplify right side
    235,789.31x = 27,592,822,463.50
  5. Step 5: Solve for x
    x = 27,592,822,463.50/235,789.31
  6. Step 6: Final answer
    x = 117,023.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.