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Finding the Fourth Proportional to 115,609, 159,553.40 and 65,311.24

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Solution

The fourth proportional to 115,609, 159,553.40 and 65,311.24 is: 90,136.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,609 : 159,553.40 = 65,311.24 : x
  2. Step 2: Convert to fraction form
    115,609/159,553.40 = 65,311.24/x
  3. Step 3: Cross multiply
    115,609x = 159,553.40 × 65,311.24
  4. Step 4: Simplify right side
    115,609x = 10,420,630,400.22
  5. Step 5: Solve for x
    x = 10,420,630,400.22/115,609
  6. Step 6: Final answer
    x = 90,136.84

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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.