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Finding the Fourth Proportional to 33,319.04, 45,978.64 and 19,899.20

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Solution

The fourth proportional to 33,319.04, 45,978.64 and 19,899.20 is: 27,459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,319.04 : 45,978.64 = 19,899.20 : x
  2. Step 2: Convert to fraction form
    33,319.04/45,978.64 = 19,899.20/x
  3. Step 3: Cross multiply
    33,319.04x = 45,978.64 × 19,899.20
  4. Step 4: Simplify right side
    33,319.04x = 914,938,153.09
  5. Step 5: Solve for x
    x = 914,938,153.09/33,319.04
  6. Step 6: Final answer
    x = 27,459.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.