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Finding the Fourth Proportional to 61.03, 91.59 and 45.78

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Solution

The fourth proportional to 61.03, 91.59 and 45.78 is: 68.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.03 : 91.59 = 45.78 : x
  2. Step 2: Convert to fraction form
    61.03/91.59 = 45.78/x
  3. Step 3: Cross multiply
    61.03x = 91.59 × 45.78
  4. Step 4: Simplify right side
    61.03x = 4,192.99
  5. Step 5: Solve for x
    x = 4,192.99/61.03
  6. Step 6: Final answer
    x = 68.70

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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.