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Finding the Fourth Proportional to 99.86, 148.71 and 97.16

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Solution

The fourth proportional to 99.86, 148.71 and 97.16 is: 144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.86 : 148.71 = 97.16 : x
  2. Step 2: Convert to fraction form
    99.86/148.71 = 97.16/x
  3. Step 3: Cross multiply
    99.86x = 148.71 × 97.16
  4. Step 4: Simplify right side
    99.86x = 14,448.18
  5. Step 5: Solve for x
    x = 14,448.18/99.86
  6. Step 6: Final answer
    x = 144.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.