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Finding the Fourth Proportional to 42,820.20, 64,230.30 and 30,354.30

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Solution

The fourth proportional to 42,820.20, 64,230.30 and 30,354.30 is: 45,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,820.20 : 64,230.30 = 30,354.30 : x
  2. Step 2: Convert to fraction form
    42,820.20/64,230.30 = 30,354.30/x
  3. Step 3: Cross multiply
    42,820.20x = 64,230.30 × 30,354.30
  4. Step 4: Simplify right side
    42,820.20x = 1,949,665,795.29
  5. Step 5: Solve for x
    x = 1,949,665,795.29/42,820.20
  6. Step 6: Final answer
    x = 45,531.45

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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.