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Finding the Fourth Proportional to 100,547.22, 150,821.28 and 33,987.70

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Solution

The fourth proportional to 100,547.22, 150,821.28 and 33,987.70 is: 50,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,547.22 : 150,821.28 = 33,987.70 : x
  2. Step 2: Convert to fraction form
    100,547.22/150,821.28 = 33,987.70/x
  3. Step 3: Cross multiply
    100,547.22x = 150,821.28 × 33,987.70
  4. Step 4: Simplify right side
    100,547.22x = 5,126,068,418.26
  5. Step 5: Solve for x
    x = 5,126,068,418.26/100,547.22
  6. Step 6: Final answer
    x = 50,981.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.