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Finding the Fourth Proportional to 143,809.16, 198,508.74 and 87,219.32

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Solution

The fourth proportional to 143,809.16, 198,508.74 and 87,219.32 is: 120,394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,809.16 : 198,508.74 = 87,219.32 : x
  2. Step 2: Convert to fraction form
    143,809.16/198,508.74 = 87,219.32/x
  3. Step 3: Cross multiply
    143,809.16x = 198,508.74 × 87,219.32
  4. Step 4: Simplify right side
    143,809.16x = 17,313,797,316.86
  5. Step 5: Solve for x
    x = 17,313,797,316.86/143,809.16
  6. Step 6: Final answer
    x = 120,394.26

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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.