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Finding the Fourth Proportional to 42,406.40, 63,616.80 and 22,679.60

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Solution

The fourth proportional to 42,406.40, 63,616.80 and 22,679.60 is: 34,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,406.40 : 63,616.80 = 22,679.60 : x
  2. Step 2: Convert to fraction form
    42,406.40/63,616.80 = 22,679.60/x
  3. Step 3: Cross multiply
    42,406.40x = 63,616.80 × 22,679.60
  4. Step 4: Simplify right side
    42,406.40x = 1,442,803,577.28
  5. Step 5: Solve for x
    x = 1,442,803,577.28/42,406.40
  6. Step 6: Final answer
    x = 34,023.25

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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.