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Finding the Fourth Proportional to 86,620, 129,709.68 and 78,632.32

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Solution

The fourth proportional to 86,620, 129,709.68 and 78,632.32 is: 117,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,620 : 129,709.68 = 78,632.32 : x
  2. Step 2: Convert to fraction form
    86,620/129,709.68 = 78,632.32/x
  3. Step 3: Cross multiply
    86,620x = 129,709.68 × 78,632.32
  4. Step 4: Simplify right side
    86,620x = 10,199,373,064.86
  5. Step 5: Solve for x
    x = 10,199,373,064.86/86,620
  6. Step 6: Final answer
    x = 117,748.48

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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.