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Finding the Fourth Proportional to 109,494.72, 151,102.40 and 61,747.72

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Solution

The fourth proportional to 109,494.72, 151,102.40 and 61,747.72 is: 85,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,494.72 : 151,102.40 = 61,747.72 : x
  2. Step 2: Convert to fraction form
    109,494.72/151,102.40 = 61,747.72/x
  3. Step 3: Cross multiply
    109,494.72x = 151,102.40 × 61,747.72
  4. Step 4: Simplify right side
    109,494.72x = 9,330,228,000.03
  5. Step 5: Solve for x
    x = 9,330,228,000.03/109,494.72
  6. Step 6: Final answer
    x = 85,211.67

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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.