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Finding the Fourth Proportional to 91.04, 136.49 and 47.69

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Solution

The fourth proportional to 91.04, 136.49 and 47.69 is: 71.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.04 : 136.49 = 47.69 : x
  2. Step 2: Convert to fraction form
    91.04/136.49 = 47.69/x
  3. Step 3: Cross multiply
    91.04x = 136.49 × 47.69
  4. Step 4: Simplify right side
    91.04x = 6,509.21
  5. Step 5: Solve for x
    x = 6,509.21/91.04
  6. Step 6: Final answer
    x = 71.50

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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.