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Finding the Fourth Proportional to 78.02, 107.64 and 48.93

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Solution

The fourth proportional to 78.02, 107.64 and 48.93 is: 67.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.02 : 107.64 = 48.93 : x
  2. Step 2: Convert to fraction form
    78.02/107.64 = 48.93/x
  3. Step 3: Cross multiply
    78.02x = 107.64 × 48.93
  4. Step 4: Simplify right side
    78.02x = 5,266.04
  5. Step 5: Solve for x
    x = 5,266.04/78.02
  6. Step 6: Final answer
    x = 67.50

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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.