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Finding the Fourth Proportional to 92.66, 139.08 and 47.05

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Solution

The fourth proportional to 92.66, 139.08 and 47.05 is: 70.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.66 : 139.08 = 47.05 : x
  2. Step 2: Convert to fraction form
    92.66/139.08 = 47.05/x
  3. Step 3: Cross multiply
    92.66x = 139.08 × 47.05
  4. Step 4: Simplify right side
    92.66x = 6,543.37
  5. Step 5: Solve for x
    x = 6,543.37/92.66
  6. Step 6: Final answer
    x = 70.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.