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Finding the Fourth Proportional to 101,431.84, 151,885.32 and 90,147.28

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Solution

The fourth proportional to 101,431.84, 151,885.32 and 90,147.28 is: 134,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,431.84 : 151,885.32 = 90,147.28 : x
  2. Step 2: Convert to fraction form
    101,431.84/151,885.32 = 90,147.28/x
  3. Step 3: Cross multiply
    101,431.84x = 151,885.32 × 90,147.28
  4. Step 4: Simplify right side
    101,431.84x = 13,692,048,469.93
  5. Step 5: Solve for x
    x = 13,692,048,469.93/101,431.84
  6. Step 6: Final answer
    x = 134,987.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.