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Finding the Fourth Proportional to 100,690.60, 151,031.10 and 34,124.20

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Solution

The fourth proportional to 100,690.60, 151,031.10 and 34,124.20 is: 51,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,690.60 : 151,031.10 = 34,124.20 : x
  2. Step 2: Convert to fraction form
    100,690.60/151,031.10 = 34,124.20/x
  3. Step 3: Cross multiply
    100,690.60x = 151,031.10 × 34,124.20
  4. Step 4: Simplify right side
    100,690.60x = 5,153,815,462.62
  5. Step 5: Solve for x
    x = 5,153,815,462.62/100,690.60
  6. Step 6: Final answer
    x = 51,184.67

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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.