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Finding the Fourth Proportional to 151,453.86, 209,007.18 and 87,829.44

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Solution

The fourth proportional to 151,453.86, 209,007.18 and 87,829.44 is: 121,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,453.86 : 209,007.18 = 87,829.44 : x
  2. Step 2: Convert to fraction form
    151,453.86/209,007.18 = 87,829.44/x
  3. Step 3: Cross multiply
    151,453.86x = 209,007.18 × 87,829.44
  4. Step 4: Simplify right side
    151,453.86x = 18,356,983,575.38
  5. Step 5: Solve for x
    x = 18,356,983,575.38/151,453.86
  6. Step 6: Final answer
    x = 121,205.12

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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.