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Finding the Fourth Proportional to 71.50, 98.58 and 59.00

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Solution

The fourth proportional to 71.50, 98.58 and 59.00 is: 81.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.50 : 98.58 = 59.00 : x
  2. Step 2: Convert to fraction form
    71.50/98.58 = 59.00/x
  3. Step 3: Cross multiply
    71.50x = 98.58 × 59.00
  4. Step 4: Simplify right side
    71.50x = 5,816.53
  5. Step 5: Solve for x
    x = 5,816.53/71.50
  6. Step 6: Final answer
    x = 81.36

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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.