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Finding the Fourth Proportional to 42,720.80, 64,092.40 and 16,426.40

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Solution

The fourth proportional to 42,720.80, 64,092.40 and 16,426.40 is: 24,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,720.80 : 64,092.40 = 16,426.40 : x
  2. Step 2: Convert to fraction form
    42,720.80/64,092.40 = 16,426.40/x
  3. Step 3: Cross multiply
    42,720.80x = 64,092.40 × 16,426.40
  4. Step 4: Simplify right side
    42,720.80x = 1,052,807,399.36
  5. Step 5: Solve for x
    x = 1,052,807,399.36/42,720.80
  6. Step 6: Final answer
    x = 24,643.91

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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.