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Finding the Fourth Proportional to 78,385.44, 117,579.84 and 22,981.44

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Solution

The fourth proportional to 78,385.44, 117,579.84 and 22,981.44 is: 34,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,385.44 : 117,579.84 = 22,981.44 : x
  2. Step 2: Convert to fraction form
    78,385.44/117,579.84 = 22,981.44/x
  3. Step 3: Cross multiply
    78,385.44x = 117,579.84 × 22,981.44
  4. Step 4: Simplify right side
    78,385.44x = 2,702,154,038.17
  5. Step 5: Solve for x
    x = 2,702,154,038.17/78,385.44
  6. Step 6: Final answer
    x = 34,472.65

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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.