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Finding the Fourth Proportional to 102.95, 142.13 and 78.51

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Solution

The fourth proportional to 102.95, 142.13 and 78.51 is: 108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.95 : 142.13 = 78.51 : x
  2. Step 2: Convert to fraction form
    102.95/142.13 = 78.51/x
  3. Step 3: Cross multiply
    102.95x = 142.13 × 78.51
  4. Step 4: Simplify right side
    102.95x = 11,158.82
  5. Step 5: Solve for x
    x = 11,158.82/102.95
  6. Step 6: Final answer
    x = 108.40

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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.