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Finding the Fourth Proportional to 85.19, 117.61 and 56.10

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Solution

The fourth proportional to 85.19, 117.61 and 56.10 is: 77.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.19 : 117.61 = 56.10 : x
  2. Step 2: Convert to fraction form
    85.19/117.61 = 56.10/x
  3. Step 3: Cross multiply
    85.19x = 117.61 × 56.10
  4. Step 4: Simplify right side
    85.19x = 6,597.92
  5. Step 5: Solve for x
    x = 6,597.92/85.19
  6. Step 6: Final answer
    x = 77.45

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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.