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Finding the Fourth Proportional to 85.86, 118.53 and 64.06

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Solution

The fourth proportional to 85.86, 118.53 and 64.06 is: 88.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.86 : 118.53 = 64.06 : x
  2. Step 2: Convert to fraction form
    85.86/118.53 = 64.06/x
  3. Step 3: Cross multiply
    85.86x = 118.53 × 64.06
  4. Step 4: Simplify right side
    85.86x = 7,592.74
  5. Step 5: Solve for x
    x = 7,592.74/85.86
  6. Step 6: Final answer
    x = 88.43

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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.