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Finding the Fourth Proportional to 78.51, 116.91 and 75.43

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Solution

The fourth proportional to 78.51, 116.91 and 75.43 is: 112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.51 : 116.91 = 75.43 : x
  2. Step 2: Convert to fraction form
    78.51/116.91 = 75.43/x
  3. Step 3: Cross multiply
    78.51x = 116.91 × 75.43
  4. Step 4: Simplify right side
    78.51x = 8,818.52
  5. Step 5: Solve for x
    x = 8,818.52/78.51
  6. Step 6: Final answer
    x = 112.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.