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Finding the Fourth Proportional to 151,478.96, 209,007.29 and 86,944.24

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Solution

The fourth proportional to 151,478.96, 209,007.29 and 86,944.24 is: 119,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,478.96 : 209,007.29 = 86,944.24 : x
  2. Step 2: Convert to fraction form
    151,478.96/209,007.29 = 86,944.24/x
  3. Step 3: Cross multiply
    151,478.96x = 209,007.29 × 86,944.24
  4. Step 4: Simplify right side
    151,478.96x = 18,171,978,503.75
  5. Step 5: Solve for x
    x = 18,171,978,503.75/151,478.96
  6. Step 6: Final answer
    x = 119,963.71

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1.5x scale

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.