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Finding the Fourth Proportional to 147.77, 203.63 and 125.90

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Solution

The fourth proportional to 147.77, 203.63 and 125.90 is: 173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.77 : 203.63 = 125.90 : x
  2. Step 2: Convert to fraction form
    147.77/203.63 = 125.90/x
  3. Step 3: Cross multiply
    147.77x = 203.63 × 125.90
  4. Step 4: Simplify right side
    147.77x = 25,637.02
  5. Step 5: Solve for x
    x = 25,637.02/147.77
  6. Step 6: Final answer
    x = 173.49

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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.