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Finding the Fourth Proportional to 111.04, 153.16 and 78.36

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Solution

The fourth proportional to 111.04, 153.16 and 78.36 is: 108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.04 : 153.16 = 78.36 : x
  2. Step 2: Convert to fraction form
    111.04/153.16 = 78.36/x
  3. Step 3: Cross multiply
    111.04x = 153.16 × 78.36
  4. Step 4: Simplify right side
    111.04x = 12,001.62
  5. Step 5: Solve for x
    x = 12,001.62/111.04
  6. Step 6: Final answer
    x = 108.08

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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.