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Finding the Fourth Proportional to 100,007.42, 149,952.81 and 29,867.90

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Solution

The fourth proportional to 100,007.42, 149,952.81 and 29,867.90 is: 44,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,007.42 : 149,952.81 = 29,867.90 : x
  2. Step 2: Convert to fraction form
    100,007.42/149,952.81 = 29,867.90/x
  3. Step 3: Cross multiply
    100,007.42x = 149,952.81 × 29,867.90
  4. Step 4: Simplify right side
    100,007.42x = 4,478,775,533.80
  5. Step 5: Solve for x
    x = 4,478,775,533.80/100,007.42
  6. Step 6: Final answer
    x = 44,784.43

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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.