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Finding the Fourth Proportional to 150,400.40, 207,581.74 and 99,415.76

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Solution

The fourth proportional to 150,400.40, 207,581.74 and 99,415.76 is: 137,213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,400.40 : 207,581.74 = 99,415.76 : x
  2. Step 2: Convert to fraction form
    150,400.40/207,581.74 = 99,415.76/x
  3. Step 3: Cross multiply
    150,400.40x = 207,581.74 × 99,415.76
  4. Step 4: Simplify right side
    150,400.40x = 20,636,895,157.77
  5. Step 5: Solve for x
    x = 20,636,895,157.77/150,400.40
  6. Step 6: Final answer
    x = 137,213.04

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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.