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Finding the Fourth Proportional to 61.71, 93.05 and 56.67

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Solution

The fourth proportional to 61.71, 93.05 and 56.67 is: 85.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.71 : 93.05 = 56.67 : x
  2. Step 2: Convert to fraction form
    61.71/93.05 = 56.67/x
  3. Step 3: Cross multiply
    61.71x = 93.05 × 56.67
  4. Step 4: Simplify right side
    61.71x = 5,272.86
  5. Step 5: Solve for x
    x = 5,272.86/61.71
  6. Step 6: Final answer
    x = 85.45

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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.