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Finding the Fourth Proportional to 48,473, 72,709.40 and 13,412.56

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Solution

The fourth proportional to 48,473, 72,709.40 and 13,412.56 is: 20,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,473 : 72,709.40 = 13,412.56 : x
  2. Step 2: Convert to fraction form
    48,473/72,709.40 = 13,412.56/x
  3. Step 3: Cross multiply
    48,473x = 72,709.40 × 13,412.56
  4. Step 4: Simplify right side
    48,473x = 975,219,190.06
  5. Step 5: Solve for x
    x = 975,219,190.06/48,473
  6. Step 6: Final answer
    x = 20,118.81

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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.