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Finding the Fourth Proportional to 100,263.42, 150,424.65 and 30,153.42

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Solution

The fourth proportional to 100,263.42, 150,424.65 and 30,153.42 is: 45,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,263.42 : 150,424.65 = 30,153.42 : x
  2. Step 2: Convert to fraction form
    100,263.42/150,424.65 = 30,153.42/x
  3. Step 3: Cross multiply
    100,263.42x = 150,424.65 × 30,153.42
  4. Step 4: Simplify right side
    100,263.42x = 4,535,817,649.80
  5. Step 5: Solve for x
    x = 4,535,817,649.80/100,263.42
  6. Step 6: Final answer
    x = 45,239.01

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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.