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Finding the Fourth Proportional to 92.32, 139.21 and 86.98

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Solution

The fourth proportional to 92.32, 139.21 and 86.98 is: 131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.32 : 139.21 = 86.98 : x
  2. Step 2: Convert to fraction form
    92.32/139.21 = 86.98/x
  3. Step 3: Cross multiply
    92.32x = 139.21 × 86.98
  4. Step 4: Simplify right side
    92.32x = 12,108.49
  5. Step 5: Solve for x
    x = 12,108.49/92.32
  6. Step 6: Final answer
    x = 131.16

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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.