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Finding the Fourth Proportional to 78.00, 107.63 and 60.49

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Solution

The fourth proportional to 78.00, 107.63 and 60.49 is: 83.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.00 : 107.63 = 60.49 : x
  2. Step 2: Convert to fraction form
    78.00/107.63 = 60.49/x
  3. Step 3: Cross multiply
    78.00x = 107.63 × 60.49
  4. Step 4: Simplify right side
    78.00x = 6,510.60
  5. Step 5: Solve for x
    x = 6,510.60/78.00
  6. Step 6: Final answer
    x = 83.47

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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.