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Finding the Fourth Proportional to 99,919.74, 137,894.49 and 57,484.65

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Solution

The fourth proportional to 99,919.74, 137,894.49 and 57,484.65 is: 79,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,919.74 : 137,894.49 = 57,484.65 : x
  2. Step 2: Convert to fraction form
    99,919.74/137,894.49 = 57,484.65/x
  3. Step 3: Cross multiply
    99,919.74x = 137,894.49 × 57,484.65
  4. Step 4: Simplify right side
    99,919.74x = 7,926,816,494.58
  5. Step 5: Solve for x
    x = 7,926,816,494.58/99,919.74
  6. Step 6: Final answer
    x = 79,331.84

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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.