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Finding the Fourth Proportional to 158,871.16, 219,242.16 and 87,251.20

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Solution

The fourth proportional to 158,871.16, 219,242.16 and 87,251.20 is: 120,406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,871.16 : 219,242.16 = 87,251.20 : x
  2. Step 2: Convert to fraction form
    158,871.16/219,242.16 = 87,251.20/x
  3. Step 3: Cross multiply
    158,871.16x = 219,242.16 × 87,251.20
  4. Step 4: Simplify right side
    158,871.16x = 19,129,141,550.59
  5. Step 5: Solve for x
    x = 19,129,141,550.59/158,871.16
  6. Step 6: Final answer
    x = 120,406.63

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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.