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Finding the Fourth Proportional to 64,180.62, 96,235.68 and 19,795.05

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Solution

The fourth proportional to 64,180.62, 96,235.68 and 19,795.05 is: 29,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,180.62 : 96,235.68 = 19,795.05 : x
  2. Step 2: Convert to fraction form
    64,180.62/96,235.68 = 19,795.05/x
  3. Step 3: Cross multiply
    64,180.62x = 96,235.68 × 19,795.05
  4. Step 4: Simplify right side
    64,180.62x = 1,904,990,097.38
  5. Step 5: Solve for x
    x = 1,904,990,097.38/64,180.62
  6. Step 6: Final answer
    x = 29,681.70

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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.