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Finding the Fourth Proportional to 105.03, 156.69 and 87.93

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Solution

The fourth proportional to 105.03, 156.69 and 87.93 is: 131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.03 : 156.69 = 87.93 : x
  2. Step 2: Convert to fraction form
    105.03/156.69 = 87.93/x
  3. Step 3: Cross multiply
    105.03x = 156.69 × 87.93
  4. Step 4: Simplify right side
    105.03x = 13,777.75
  5. Step 5: Solve for x
    x = 13,777.75/105.03
  6. Step 6: Final answer
    x = 131.18

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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.