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Finding the Fourth Proportional to 70.43, 106.12 and 58.50

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Solution

The fourth proportional to 70.43, 106.12 and 58.50 is: 88.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.43 : 106.12 = 58.50 : x
  2. Step 2: Convert to fraction form
    70.43/106.12 = 58.50/x
  3. Step 3: Cross multiply
    70.43x = 106.12 × 58.50
  4. Step 4: Simplify right side
    70.43x = 6,207.87
  5. Step 5: Solve for x
    x = 6,207.87/70.43
  6. Step 6: Final answer
    x = 88.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.