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Finding the Fourth Proportional to 159,340, 219,899.70 and 92,272

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Solution

The fourth proportional to 159,340, 219,899.70 and 92,272 is: 127,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,340 : 219,899.70 = 92,272 : x
  2. Step 2: Convert to fraction form
    159,340/219,899.70 = 92,272/x
  3. Step 3: Cross multiply
    159,340x = 219,899.70 × 92,272
  4. Step 4: Simplify right side
    159,340x = 20,290,585,118.40
  5. Step 5: Solve for x
    x = 20,290,585,118.40/159,340
  6. Step 6: Final answer
    x = 127,341.44

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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.