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Finding the Fourth Proportional to 147.32, 203.16 and 103.80

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Solution

The fourth proportional to 147.32, 203.16 and 103.80 is: 143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.32 : 203.16 = 103.80 : x
  2. Step 2: Convert to fraction form
    147.32/203.16 = 103.80/x
  3. Step 3: Cross multiply
    147.32x = 203.16 × 103.80
  4. Step 4: Simplify right side
    147.32x = 21,088.01
  5. Step 5: Solve for x
    x = 21,088.01/147.32
  6. Step 6: Final answer
    x = 143.14

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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.