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Finding the Fourth Proportional to 98,079.66, 135,359.91 and 57,806.42

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Solution

The fourth proportional to 98,079.66, 135,359.91 and 57,806.42 is: 79,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,079.66 : 135,359.91 = 57,806.42 : x
  2. Step 2: Convert to fraction form
    98,079.66/135,359.91 = 57,806.42/x
  3. Step 3: Cross multiply
    98,079.66x = 135,359.91 × 57,806.42
  4. Step 4: Simplify right side
    98,079.66x = 7,824,671,131.82
  5. Step 5: Solve for x
    x = 7,824,671,131.82/98,079.66
  6. Step 6: Final answer
    x = 79,778.73

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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.