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Finding the Fourth Proportional to 153.87, 211.59 and 123.99

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Solution

The fourth proportional to 153.87, 211.59 and 123.99 is: 170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.87 : 211.59 = 123.99 : x
  2. Step 2: Convert to fraction form
    153.87/211.59 = 123.99/x
  3. Step 3: Cross multiply
    153.87x = 211.59 × 123.99
  4. Step 4: Simplify right side
    153.87x = 26,235.04
  5. Step 5: Solve for x
    x = 26,235.04/153.87
  6. Step 6: Final answer
    x = 170.50

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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.