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Finding the Fourth Proportional to 100,398.83, 150,623.15 and 30,278.07

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Solution

The fourth proportional to 100,398.83, 150,623.15 and 30,278.07 is: 45,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,398.83 : 150,623.15 = 30,278.07 : x
  2. Step 2: Convert to fraction form
    100,398.83/150,623.15 = 30,278.07/x
  3. Step 3: Cross multiply
    100,398.83x = 150,623.15 × 30,278.07
  4. Step 4: Simplify right side
    100,398.83x = 4,560,578,127.93
  5. Step 5: Solve for x
    x = 4,560,578,127.93/100,398.83
  6. Step 6: Final answer
    x = 45,424.62

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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.