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Finding the Fourth Proportional to 78,248.67, 117,343.53 and 28,316.42

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Solution

The fourth proportional to 78,248.67, 117,343.53 and 28,316.42 is: 42,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,248.67 : 117,343.53 = 28,316.42 : x
  2. Step 2: Convert to fraction form
    78,248.67/117,343.53 = 28,316.42/x
  3. Step 3: Cross multiply
    78,248.67x = 117,343.53 × 28,316.42
  4. Step 4: Simplify right side
    78,248.67x = 3,322,748,679.76
  5. Step 5: Solve for x
    x = 3,322,748,679.76/78,248.67
  6. Step 6: Final answer
    x = 42,463.96

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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.