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Finding the Fourth Proportional to 48,936, 73,407.66 and 13,878.48

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Solution

The fourth proportional to 48,936, 73,407.66 and 13,878.48 is: 20,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,936 : 73,407.66 = 13,878.48 : x
  2. Step 2: Convert to fraction form
    48,936/73,407.66 = 13,878.48/x
  3. Step 3: Cross multiply
    48,936x = 73,407.66 × 13,878.48
  4. Step 4: Simplify right side
    48,936x = 1,018,786,741.16
  5. Step 5: Solve for x
    x = 1,018,786,741.16/48,936
  6. Step 6: Final answer
    x = 20,818.76

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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.