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Finding the Fourth Proportional to 98.47, 135.75 and 70.83

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Solution

The fourth proportional to 98.47, 135.75 and 70.83 is: 97.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.47 : 135.75 = 70.83 : x
  2. Step 2: Convert to fraction form
    98.47/135.75 = 70.83/x
  3. Step 3: Cross multiply
    98.47x = 135.75 × 70.83
  4. Step 4: Simplify right side
    98.47x = 9,615.17
  5. Step 5: Solve for x
    x = 9,615.17/98.47
  6. Step 6: Final answer
    x = 97.65

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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.