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Finding the Fourth Proportional to 137,320.50, 205,982.01 and 54,214.50

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Solution

The fourth proportional to 137,320.50, 205,982.01 and 54,214.50 is: 81,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,320.50 : 205,982.01 = 54,214.50 : x
  2. Step 2: Convert to fraction form
    137,320.50/205,982.01 = 54,214.50/x
  3. Step 3: Cross multiply
    137,320.50x = 205,982.01 × 54,214.50
  4. Step 4: Simplify right side
    137,320.50x = 11,167,211,681.15
  5. Step 5: Solve for x
    x = 11,167,211,681.15/137,320.50
  6. Step 6: Final answer
    x = 81,322.25

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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.