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Finding the Fourth Proportional to 122,318, 168,799.14 and 71,365.76

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Solution

The fourth proportional to 122,318, 168,799.14 and 71,365.76 is: 98,484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,318 : 168,799.14 = 71,365.76 : x
  2. Step 2: Convert to fraction form
    122,318/168,799.14 = 71,365.76/x
  3. Step 3: Cross multiply
    122,318x = 168,799.14 × 71,365.76
  4. Step 4: Simplify right side
    122,318x = 12,046,478,913.45
  5. Step 5: Solve for x
    x = 12,046,478,913.45/122,318
  6. Step 6: Final answer
    x = 98,484.92

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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.