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Finding the Fourth Proportional to 43,209, 59,648.40 and 30,472.56

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Solution

The fourth proportional to 43,209, 59,648.40 and 30,472.56 is: 42,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,209 : 59,648.40 = 30,472.56 : x
  2. Step 2: Convert to fraction form
    43,209/59,648.40 = 30,472.56/x
  3. Step 3: Cross multiply
    43,209x = 59,648.40 × 30,472.56
  4. Step 4: Simplify right side
    43,209x = 1,817,639,447.90
  5. Step 5: Solve for x
    x = 1,817,639,447.90/43,209
  6. Step 6: Final answer
    x = 42,066.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.