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Finding the Fourth Proportional to 78,148.67, 117,221.38 and 18,984.65

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Solution

The fourth proportional to 78,148.67, 117,221.38 and 18,984.65 is: 28,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,148.67 : 117,221.38 = 18,984.65 : x
  2. Step 2: Convert to fraction form
    78,148.67/117,221.38 = 18,984.65/x
  3. Step 3: Cross multiply
    78,148.67x = 117,221.38 × 18,984.65
  4. Step 4: Simplify right side
    78,148.67x = 2,225,406,238.25
  5. Step 5: Solve for x
    x = 2,225,406,238.25/78,148.67
  6. Step 6: Final answer
    x = 28,476.57

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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.