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Finding the Fourth Proportional to 96,408, 144,462.72 and 66,884.16

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Solution

The fourth proportional to 96,408, 144,462.72 and 66,884.16 is: 100,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,408 : 144,462.72 = 66,884.16 : x
  2. Step 2: Convert to fraction form
    96,408/144,462.72 = 66,884.16/x
  3. Step 3: Cross multiply
    96,408x = 144,462.72 × 66,884.16
  4. Step 4: Simplify right side
    96,408x = 9,662,267,678.52
  5. Step 5: Solve for x
    x = 9,662,267,678.52/96,408
  6. Step 6: Final answer
    x = 100,222.68

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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.