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Finding the Fourth Proportional to 61.02, 83.97 and 56.97

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Solution

The fourth proportional to 61.02, 83.97 and 56.97 is: 78.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.02 : 83.97 = 56.97 : x
  2. Step 2: Convert to fraction form
    61.02/83.97 = 56.97/x
  3. Step 3: Cross multiply
    61.02x = 83.97 × 56.97
  4. Step 4: Simplify right side
    61.02x = 4,783.77
  5. Step 5: Solve for x
    x = 4,783.77/61.02
  6. Step 6: Final answer
    x = 78.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.