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Finding the Fourth Proportional to 151,459.92, 209,015.52 and 87,835.44

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Solution

The fourth proportional to 151,459.92, 209,015.52 and 87,835.44 is: 121,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,459.92 : 209,015.52 = 87,835.44 : x
  2. Step 2: Convert to fraction form
    151,459.92/209,015.52 = 87,835.44/x
  3. Step 3: Cross multiply
    151,459.92x = 209,015.52 × 87,835.44
  4. Step 4: Simplify right side
    151,459.92x = 18,358,970,166.03
  5. Step 5: Solve for x
    x = 18,358,970,166.03/151,459.92
  6. Step 6: Final answer
    x = 121,213.39

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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.