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Finding the Fourth Proportional to 92.84, 138.53 and 87

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Solution

The fourth proportional to 92.84, 138.53 and 87 is: 129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.84 : 138.53 = 87 : x
  2. Step 2: Convert to fraction form
    92.84/138.53 = 87/x
  3. Step 3: Cross multiply
    92.84x = 138.53 × 87
  4. Step 4: Simplify right side
    92.84x = 12,051.68
  5. Step 5: Solve for x
    x = 12,051.68/92.84
  6. Step 6: Final answer
    x = 129.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.