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Finding the Fourth Proportional to 124.99, 187.34 and 70.78

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Solution

The fourth proportional to 124.99, 187.34 and 70.78 is: 106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.99 : 187.34 = 70.78 : x
  2. Step 2: Convert to fraction form
    124.99/187.34 = 70.78/x
  3. Step 3: Cross multiply
    124.99x = 187.34 × 70.78
  4. Step 4: Simplify right side
    124.99x = 13,259.93
  5. Step 5: Solve for x
    x = 13,259.93/124.99
  6. Step 6: Final answer
    x = 106.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.