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Finding the Fourth Proportional to 113.15, 156.14 and 71.72

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Solution

The fourth proportional to 113.15, 156.14 and 71.72 is: 98.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.15 : 156.14 = 71.72 : x
  2. Step 2: Convert to fraction form
    113.15/156.14 = 71.72/x
  3. Step 3: Cross multiply
    113.15x = 156.14 × 71.72
  4. Step 4: Simplify right side
    113.15x = 11,199.13
  5. Step 5: Solve for x
    x = 11,199.13/113.15
  6. Step 6: Final answer
    x = 98.98

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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.