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Finding the Fourth Proportional to 138,753, 208,158.66 and 55,647

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Solution

The fourth proportional to 138,753, 208,158.66 and 55,647 is: 83,482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,753 : 208,158.66 = 55,647 : x
  2. Step 2: Convert to fraction form
    138,753/208,158.66 = 55,647/x
  3. Step 3: Cross multiply
    138,753x = 208,158.66 × 55,647
  4. Step 4: Simplify right side
    138,753x = 11,583,404,953.02
  5. Step 5: Solve for x
    x = 11,583,404,953.02/138,753
  6. Step 6: Final answer
    x = 83,482.19

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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.