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Finding the Fourth Proportional to 158,917.13, 219,305.63 and 87,298.34

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Solution

The fourth proportional to 158,917.13, 219,305.63 and 87,298.34 is: 120,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,917.13 : 219,305.63 = 87,298.34 : x
  2. Step 2: Convert to fraction form
    158,917.13/219,305.63 = 87,298.34/x
  3. Step 3: Cross multiply
    158,917.13x = 219,305.63 × 87,298.34
  4. Step 4: Simplify right side
    158,917.13x = 19,145,018,218.16
  5. Step 5: Solve for x
    x = 19,145,018,218.16/158,917.13
  6. Step 6: Final answer
    x = 120,471.71

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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.