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Finding the Fourth Proportional to 70.43, 96.93 and 61.16

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Solution

The fourth proportional to 70.43, 96.93 and 61.16 is: 84.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.43 : 96.93 = 61.16 : x
  2. Step 2: Convert to fraction form
    70.43/96.93 = 61.16/x
  3. Step 3: Cross multiply
    70.43x = 96.93 × 61.16
  4. Step 4: Simplify right side
    70.43x = 5,927.75
  5. Step 5: Solve for x
    x = 5,927.75/70.43
  6. Step 6: Final answer
    x = 84.17

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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.