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Finding the Fourth Proportional to 115,595, 159,534.08 and 65,297.24

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Solution

The fourth proportional to 115,595, 159,534.08 and 65,297.24 is: 90,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,595 : 159,534.08 = 65,297.24 : x
  2. Step 2: Convert to fraction form
    115,595/159,534.08 = 65,297.24/x
  3. Step 3: Cross multiply
    115,595x = 159,534.08 × 65,297.24
  4. Step 4: Simplify right side
    115,595x = 10,417,135,109.94
  5. Step 5: Solve for x
    x = 10,417,135,109.94/115,595
  6. Step 6: Final answer
    x = 90,117.52

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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.