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Finding the Fourth Proportional to 78,522.84, 117,784.26 and 31,808.52

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Solution

The fourth proportional to 78,522.84, 117,784.26 and 31,808.52 is: 47,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,522.84 : 117,784.26 = 31,808.52 : x
  2. Step 2: Convert to fraction form
    78,522.84/117,784.26 = 31,808.52/x
  3. Step 3: Cross multiply
    78,522.84x = 117,784.26 × 31,808.52
  4. Step 4: Simplify right side
    78,522.84x = 3,746,542,989.90
  5. Step 5: Solve for x
    x = 3,746,542,989.90/78,522.84
  6. Step 6: Final answer
    x = 47,712.78

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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.