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Finding the Fourth Proportional to 153,806.67, 212,252.94 and 85,819.50

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Solution

The fourth proportional to 153,806.67, 212,252.94 and 85,819.50 is: 118,430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,806.67 : 212,252.94 = 85,819.50 : x
  2. Step 2: Convert to fraction form
    153,806.67/212,252.94 = 85,819.50/x
  3. Step 3: Cross multiply
    153,806.67x = 212,252.94 × 85,819.50
  4. Step 4: Simplify right side
    153,806.67x = 18,215,441,184.33
  5. Step 5: Solve for x
    x = 18,215,441,184.33/153,806.67
  6. Step 6: Final answer
    x = 118,430.76

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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.