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Finding the Fourth Proportional to 75,174.54, 103,504.74 and 63,820.50

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Solution

The fourth proportional to 75,174.54, 103,504.74 and 63,820.50 is: 87,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,174.54 : 103,504.74 = 63,820.50 : x
  2. Step 2: Convert to fraction form
    75,174.54/103,504.74 = 63,820.50/x
  3. Step 3: Cross multiply
    75,174.54x = 103,504.74 × 63,820.50
  4. Step 4: Simplify right side
    75,174.54x = 6,605,724,259.17
  5. Step 5: Solve for x
    x = 6,605,724,259.17/75,174.54
  6. Step 6: Final answer
    x = 87,871.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.