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Finding the Fourth Proportional to 78.59, 108.32 and 53.99

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Solution

The fourth proportional to 78.59, 108.32 and 53.99 is: 74.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.59 : 108.32 = 53.99 : x
  2. Step 2: Convert to fraction form
    78.59/108.32 = 53.99/x
  3. Step 3: Cross multiply
    78.59x = 108.32 × 53.99
  4. Step 4: Simplify right side
    78.59x = 5,848.40
  5. Step 5: Solve for x
    x = 5,848.40/78.59
  6. Step 6: Final answer
    x = 74.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.