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Finding the Fourth Proportional to 42,408.40, 63,619.80 and 22,681.60

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Solution

The fourth proportional to 42,408.40, 63,619.80 and 22,681.60 is: 34,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,408.40 : 63,619.80 = 22,681.60 : x
  2. Step 2: Convert to fraction form
    42,408.40/63,619.80 = 22,681.60/x
  3. Step 3: Cross multiply
    42,408.40x = 63,619.80 × 22,681.60
  4. Step 4: Simplify right side
    42,408.40x = 1,442,998,855.68
  5. Step 5: Solve for x
    x = 1,442,998,855.68/42,408.40
  6. Step 6: Final answer
    x = 34,026.25

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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.