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Finding the Fourth Proportional to 161,581.96, 242,268.79 and 77,340.07

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Solution

The fourth proportional to 161,581.96, 242,268.79 and 77,340.07 is: 115,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,581.96 : 242,268.79 = 77,340.07 : x
  2. Step 2: Convert to fraction form
    161,581.96/242,268.79 = 77,340.07/x
  3. Step 3: Cross multiply
    161,581.96x = 242,268.79 × 77,340.07
  4. Step 4: Simplify right side
    161,581.96x = 18,737,085,177.42
  5. Step 5: Solve for x
    x = 18,737,085,177.42/161,581.96
  6. Step 6: Final answer
    x = 115,960.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.