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Finding the Fourth Proportional to 113.51, 156.64 and 61.76

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Solution

The fourth proportional to 113.51, 156.64 and 61.76 is: 85.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.51 : 156.64 = 61.76 : x
  2. Step 2: Convert to fraction form
    113.51/156.64 = 61.76/x
  3. Step 3: Cross multiply
    113.51x = 156.64 × 61.76
  4. Step 4: Simplify right side
    113.51x = 9,673.54
  5. Step 5: Solve for x
    x = 9,673.54/113.51
  6. Step 6: Final answer
    x = 85.22

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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.