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Finding the Fourth Proportional to 100,963, 151,509.30 and 45,559

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Solution

The fourth proportional to 100,963, 151,509.30 and 45,559 is: 68,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,963 : 151,509.30 = 45,559 : x
  2. Step 2: Convert to fraction form
    100,963/151,509.30 = 45,559/x
  3. Step 3: Cross multiply
    100,963x = 151,509.30 × 45,559
  4. Step 4: Simplify right side
    100,963x = 6,902,612,198.70
  5. Step 5: Solve for x
    x = 6,902,612,198.70/100,963
  6. Step 6: Final answer
    x = 68,367.74

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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.