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Finding the Fourth Proportional to 159,200.49, 219,700.10 and 87,580.49

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Solution

The fourth proportional to 159,200.49, 219,700.10 and 87,580.49 is: 120,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,200.49 : 219,700.10 = 87,580.49 : x
  2. Step 2: Convert to fraction form
    159,200.49/219,700.10 = 87,580.49/x
  3. Step 3: Cross multiply
    159,200.49x = 219,700.10 × 87,580.49
  4. Step 4: Simplify right side
    159,200.49x = 19,241,440,874.65
  5. Step 5: Solve for x
    x = 19,241,440,874.65/159,200.49
  6. Step 6: Final answer
    x = 120,862.95

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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.