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Finding the Fourth Proportional to 98,318.71, 135,663.06 and 55,287.06

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Solution

The fourth proportional to 98,318.71, 135,663.06 and 55,287.06 is: 76,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,318.71 : 135,663.06 = 55,287.06 : x
  2. Step 2: Convert to fraction form
    98,318.71/135,663.06 = 55,287.06/x
  3. Step 3: Cross multiply
    98,318.71x = 135,663.06 × 55,287.06
  4. Step 4: Simplify right side
    98,318.71x = 7,500,411,122.41
  5. Step 5: Solve for x
    x = 7,500,411,122.41/98,318.71
  6. Step 6: Final answer
    x = 76,286.71

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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.