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Finding the Fourth Proportional to 111.53, 153.72 and 90.77

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Solution

The fourth proportional to 111.53, 153.72 and 90.77 is: 125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.53 : 153.72 = 90.77 : x
  2. Step 2: Convert to fraction form
    111.53/153.72 = 90.77/x
  3. Step 3: Cross multiply
    111.53x = 153.72 × 90.77
  4. Step 4: Simplify right side
    111.53x = 13,952.40
  5. Step 5: Solve for x
    x = 13,952.40/111.53
  6. Step 6: Final answer
    x = 125.10

Related Problems

Find fourth proportional to 55.77, 76.86 and 45.38
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1.5x scale

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.