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Finding the Fourth Proportional to 81,178.60, 112,026.28 and 47,207

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Solution

The fourth proportional to 81,178.60, 112,026.28 and 47,207 is: 65,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,178.60 : 112,026.28 = 47,207 : x
  2. Step 2: Convert to fraction form
    81,178.60/112,026.28 = 47,207/x
  3. Step 3: Cross multiply
    81,178.60x = 112,026.28 × 47,207
  4. Step 4: Simplify right side
    81,178.60x = 5,288,424,599.96
  5. Step 5: Solve for x
    x = 5,288,424,599.96/81,178.60
  6. Step 6: Final answer
    x = 65,145.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.