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Finding the Fourth Proportional to 42,203.70, 63,232.65 and 19,969.20

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Solution

The fourth proportional to 42,203.70, 63,232.65 and 19,969.20 is: 29,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,203.70 : 63,232.65 = 19,969.20 : x
  2. Step 2: Convert to fraction form
    42,203.70/63,232.65 = 19,969.20/x
  3. Step 3: Cross multiply
    42,203.70x = 63,232.65 × 19,969.20
  4. Step 4: Simplify right side
    42,203.70x = 1,262,705,434.38
  5. Step 5: Solve for x
    x = 1,262,705,434.38/42,203.70
  6. Step 6: Final answer
    x = 29,919.31

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1.5x scale

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.