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Finding the Fourth Proportional to 100,019.36, 150,029.76 and 29,899.28

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Solution

The fourth proportional to 100,019.36, 150,029.76 and 29,899.28 is: 44,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,019.36 : 150,029.76 = 29,899.28 : x
  2. Step 2: Convert to fraction form
    100,019.36/150,029.76 = 29,899.28/x
  3. Step 3: Cross multiply
    100,019.36x = 150,029.76 × 29,899.28
  4. Step 4: Simplify right side
    100,019.36x = 4,485,781,802.57
  5. Step 5: Solve for x
    x = 4,485,781,802.57/100,019.36
  6. Step 6: Final answer
    x = 44,849.14

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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.