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Finding the Fourth Proportional to 88.61, 122.31 and 51.77

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Solution

The fourth proportional to 88.61, 122.31 and 51.77 is: 71.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.61 : 122.31 = 51.77 : x
  2. Step 2: Convert to fraction form
    88.61/122.31 = 51.77/x
  3. Step 3: Cross multiply
    88.61x = 122.31 × 51.77
  4. Step 4: Simplify right side
    88.61x = 6,331.73
  5. Step 5: Solve for x
    x = 6,331.73/88.61
  6. Step 6: Final answer
    x = 71.46

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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.