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Finding the Fourth Proportional to 157,584.50, 217,484.82 and 87,740.83

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Solution

The fourth proportional to 157,584.50, 217,484.82 and 87,740.83 is: 121,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,584.50 : 217,484.82 = 87,740.83 : x
  2. Step 2: Convert to fraction form
    157,584.50/217,484.82 = 87,740.83/x
  3. Step 3: Cross multiply
    157,584.50x = 217,484.82 × 87,740.83
  4. Step 4: Simplify right side
    157,584.50x = 19,082,298,619.20
  5. Step 5: Solve for x
    x = 19,082,298,619.20/157,584.50
  6. Step 6: Final answer
    x = 121,092.48

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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.