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Finding the Fourth Proportional to 145,950.76, 218,531.30 and 75,682.36

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Solution

The fourth proportional to 145,950.76, 218,531.30 and 75,682.36 is: 113,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,950.76 : 218,531.30 = 75,682.36 : x
  2. Step 2: Convert to fraction form
    145,950.76/218,531.30 = 75,682.36/x
  3. Step 3: Cross multiply
    145,950.76x = 218,531.30 × 75,682.36
  4. Step 4: Simplify right side
    145,950.76x = 16,538,964,517.87
  5. Step 5: Solve for x
    x = 16,538,964,517.87/145,950.76
  6. Step 6: Final answer
    x = 113,318.80

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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.