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Finding the Fourth Proportional to 142.03, 212.86 and 60.77

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Solution

The fourth proportional to 142.03, 212.86 and 60.77 is: 91.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.03 : 212.86 = 60.77 : x
  2. Step 2: Convert to fraction form
    142.03/212.86 = 60.77/x
  3. Step 3: Cross multiply
    142.03x = 212.86 × 60.77
  4. Step 4: Simplify right side
    142.03x = 12,936.11
  5. Step 5: Solve for x
    x = 12,936.11/142.03
  6. Step 6: Final answer
    x = 91.08

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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.