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Finding the Fourth Proportional to 78,030.92, 117,034.14 and 25,440.14

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Solution

The fourth proportional to 78,030.92, 117,034.14 and 25,440.14 is: 38,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,030.92 : 117,034.14 = 25,440.14 : x
  2. Step 2: Convert to fraction form
    78,030.92/117,034.14 = 25,440.14/x
  3. Step 3: Cross multiply
    78,030.92x = 117,034.14 × 25,440.14
  4. Step 4: Simplify right side
    78,030.92x = 2,977,364,906.38
  5. Step 5: Solve for x
    x = 2,977,364,906.38/78,030.92
  6. Step 6: Final answer
    x = 38,156.22

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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.