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Finding the Fourth Proportional to 48,709.12, 73,076.28 and 13,649.08

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Solution

The fourth proportional to 48,709.12, 73,076.28 and 13,649.08 is: 20,477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,709.12 : 73,076.28 = 13,649.08 : x
  2. Step 2: Convert to fraction form
    48,709.12/73,076.28 = 13,649.08/x
  3. Step 3: Cross multiply
    48,709.12x = 73,076.28 × 13,649.08
  4. Step 4: Simplify right side
    48,709.12x = 997,423,991.82
  5. Step 5: Solve for x
    x = 997,423,991.82/48,709.12
  6. Step 6: Final answer
    x = 20,477.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.