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Finding the Fourth Proportional to 218,065.69, 327,142.47 and 77,820.67

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Solution

The fourth proportional to 218,065.69, 327,142.47 and 77,820.67 is: 116,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,065.69 : 327,142.47 = 77,820.67 : x
  2. Step 2: Convert to fraction form
    218,065.69/327,142.47 = 77,820.67/x
  3. Step 3: Cross multiply
    218,065.69x = 327,142.47 × 77,820.67
  4. Step 4: Simplify right side
    218,065.69x = 25,458,444,565.14
  5. Step 5: Solve for x
    x = 25,458,444,565.14/218,065.69
  6. Step 6: Final answer
    x = 116,746.68

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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.