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Finding the Fourth Proportional to 100,463.02, 150,694.50 and 78,292.98

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Solution

The fourth proportional to 100,463.02, 150,694.50 and 78,292.98 is: 117,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,463.02 : 150,694.50 = 78,292.98 : x
  2. Step 2: Convert to fraction form
    100,463.02/150,694.50 = 78,292.98/x
  3. Step 3: Cross multiply
    100,463.02x = 150,694.50 × 78,292.98
  4. Step 4: Simplify right side
    100,463.02x = 11,798,321,474.61
  5. Step 5: Solve for x
    x = 11,798,321,474.61/100,463.02
  6. Step 6: Final answer
    x = 117,439.45

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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.