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Finding the Fourth Proportional to 121,130.68, 167,065.50 and 78,703

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Solution

The fourth proportional to 121,130.68, 167,065.50 and 78,703 is: 108,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,130.68 : 167,065.50 = 78,703 : x
  2. Step 2: Convert to fraction form
    121,130.68/167,065.50 = 78,703/x
  3. Step 3: Cross multiply
    121,130.68x = 167,065.50 × 78,703
  4. Step 4: Simplify right side
    121,130.68x = 13,148,556,046.50
  5. Step 5: Solve for x
    x = 13,148,556,046.50/121,130.68
  6. Step 6: Final answer
    x = 108,548.52

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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.