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Finding the Fourth Proportional to 152.12, 210.03 and 93.94

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Solution

The fourth proportional to 152.12, 210.03 and 93.94 is: 129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.12 : 210.03 = 93.94 : x
  2. Step 2: Convert to fraction form
    152.12/210.03 = 93.94/x
  3. Step 3: Cross multiply
    152.12x = 210.03 × 93.94
  4. Step 4: Simplify right side
    152.12x = 19,729.34
  5. Step 5: Solve for x
    x = 19,729.34/152.12
  6. Step 6: Final answer
    x = 129.69

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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.