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Finding the Fourth Proportional to 100,411, 150,616.66 and 75,136.88

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Solution

The fourth proportional to 100,411, 150,616.66 and 75,136.88 is: 112,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,411 : 150,616.66 = 75,136.88 : x
  2. Step 2: Convert to fraction form
    100,411/150,616.66 = 75,136.88/x
  3. Step 3: Cross multiply
    100,411x = 150,616.66 × 75,136.88
  4. Step 4: Simplify right side
    100,411x = 11,316,865,908.42
  5. Step 5: Solve for x
    x = 11,316,865,908.42/100,411
  6. Step 6: Final answer
    x = 112,705.44

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1.5x scale

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.