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Finding the Fourth Proportional to 42,603.20, 63,856.80 and 20,427.20

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Solution

The fourth proportional to 42,603.20, 63,856.80 and 20,427.20 is: 30,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,603.20 : 63,856.80 = 20,427.20 : x
  2. Step 2: Convert to fraction form
    42,603.20/63,856.80 = 20,427.20/x
  3. Step 3: Cross multiply
    42,603.20x = 63,856.80 × 20,427.20
  4. Step 4: Simplify right side
    42,603.20x = 1,304,415,624.96
  5. Step 5: Solve for x
    x = 1,304,415,624.96/42,603.20
  6. Step 6: Final answer
    x = 30,617.79

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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.