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Finding the Fourth Proportional to 89.59, 123.65 and 56.88

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Solution

The fourth proportional to 89.59, 123.65 and 56.88 is: 78.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.59 : 123.65 = 56.88 : x
  2. Step 2: Convert to fraction form
    89.59/123.65 = 56.88/x
  3. Step 3: Cross multiply
    89.59x = 123.65 × 56.88
  4. Step 4: Simplify right side
    89.59x = 7,033.21
  5. Step 5: Solve for x
    x = 7,033.21/89.59
  6. Step 6: Final answer
    x = 78.50

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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.