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Finding the Fourth Proportional to 115,893.78, 159,920.19 and 64,899.42

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Solution

The fourth proportional to 115,893.78, 159,920.19 and 64,899.42 is: 89,553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,893.78 : 159,920.19 = 64,899.42 : x
  2. Step 2: Convert to fraction form
    115,893.78/159,920.19 = 64,899.42/x
  3. Step 3: Cross multiply
    115,893.78x = 159,920.19 × 64,899.42
  4. Step 4: Simplify right side
    115,893.78x = 10,378,727,577.29
  5. Step 5: Solve for x
    x = 10,378,727,577.29/115,893.78
  6. Step 6: Final answer
    x = 89,553.79

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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.