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Finding the Fourth Proportional to 114.42, 157.86 and 88.50

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Solution

The fourth proportional to 114.42, 157.86 and 88.50 is: 122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.42 : 157.86 = 88.50 : x
  2. Step 2: Convert to fraction form
    114.42/157.86 = 88.50/x
  3. Step 3: Cross multiply
    114.42x = 157.86 × 88.50
  4. Step 4: Simplify right side
    114.42x = 13,970.61
  5. Step 5: Solve for x
    x = 13,970.61/114.42
  6. Step 6: Final answer
    x = 122.10

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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.