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Finding the Fourth Proportional to 61.80, 93.06 and 56.76

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Solution

The fourth proportional to 61.80, 93.06 and 56.76 is: 85.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.80 : 93.06 = 56.76 : x
  2. Step 2: Convert to fraction form
    61.80/93.06 = 56.76/x
  3. Step 3: Cross multiply
    61.80x = 93.06 × 56.76
  4. Step 4: Simplify right side
    61.80x = 5,282.09
  5. Step 5: Solve for x
    x = 5,282.09/61.80
  6. Step 6: Final answer
    x = 85.47

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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.