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Finding the Fourth Proportional to 123,364.67, 170,270.24 and 78,102.99

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Solution

The fourth proportional to 123,364.67, 170,270.24 and 78,102.99 is: 107,799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,364.67 : 170,270.24 = 78,102.99 : x
  2. Step 2: Convert to fraction form
    123,364.67/170,270.24 = 78,102.99/x
  3. Step 3: Cross multiply
    123,364.67x = 170,270.24 × 78,102.99
  4. Step 4: Simplify right side
    123,364.67x = 13,298,614,461.50
  5. Step 5: Solve for x
    x = 13,298,614,461.50/123,364.67
  6. Step 6: Final answer
    x = 107,799.22

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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.