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Finding the Fourth Proportional to 78,072.84, 117,127.92 and 25,482.42

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Solution

The fourth proportional to 78,072.84, 117,127.92 and 25,482.42 is: 38,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,072.84 : 117,127.92 = 25,482.42 : x
  2. Step 2: Convert to fraction form
    78,072.84/117,127.92 = 25,482.42/x
  3. Step 3: Cross multiply
    78,072.84x = 117,127.92 × 25,482.42
  4. Step 4: Simplify right side
    78,072.84x = 2,984,702,851.17
  5. Step 5: Solve for x
    x = 2,984,702,851.17/78,072.84
  6. Step 6: Final answer
    x = 38,229.72

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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.