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Finding the Fourth Proportional to 117.61, 162.29 and 65.15

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Solution

The fourth proportional to 117.61, 162.29 and 65.15 is: 89.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.61 : 162.29 = 65.15 : x
  2. Step 2: Convert to fraction form
    117.61/162.29 = 65.15/x
  3. Step 3: Cross multiply
    117.61x = 162.29 × 65.15
  4. Step 4: Simplify right side
    117.61x = 10,573.19
  5. Step 5: Solve for x
    x = 10,573.19/117.61
  6. Step 6: Final answer
    x = 89.90

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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.