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Finding the Fourth Proportional to 113.79, 157.02 and 62.04

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Solution

The fourth proportional to 113.79, 157.02 and 62.04 is: 85.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.79 : 157.02 = 62.04 : x
  2. Step 2: Convert to fraction form
    113.79/157.02 = 62.04/x
  3. Step 3: Cross multiply
    113.79x = 157.02 × 62.04
  4. Step 4: Simplify right side
    113.79x = 9,740.43
  5. Step 5: Solve for x
    x = 9,740.43/113.79
  6. Step 6: Final answer
    x = 85.60

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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.