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Finding the Fourth Proportional to 158,658.96, 218,945.57 and 87,038.36

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Solution

The fourth proportional to 158,658.96, 218,945.57 and 87,038.36 is: 120,110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,658.96 : 218,945.57 = 87,038.36 : x
  2. Step 2: Convert to fraction form
    158,658.96/218,945.57 = 87,038.36/x
  3. Step 3: Cross multiply
    158,658.96x = 218,945.57 × 87,038.36
  4. Step 4: Simplify right side
    158,658.96x = 19,056,662,633.19
  5. Step 5: Solve for x
    x = 19,056,662,633.19/158,658.96
  6. Step 6: Final answer
    x = 120,110.85

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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.