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Finding the Fourth Proportional to 157,977.84, 218,009.42 and 86,358.38

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Solution

The fourth proportional to 157,977.84, 218,009.42 and 86,358.38 is: 119,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,977.84 : 218,009.42 = 86,358.38 : x
  2. Step 2: Convert to fraction form
    157,977.84/218,009.42 = 86,358.38/x
  3. Step 3: Cross multiply
    157,977.84x = 218,009.42 × 86,358.38
  4. Step 4: Simplify right side
    157,977.84x = 18,826,940,236.86
  5. Step 5: Solve for x
    x = 18,826,940,236.86/157,977.84
  6. Step 6: Final answer
    x = 119,174.56

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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.