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Finding the Fourth Proportional to 75,861.50, 113,842.98 and 31,488.26

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Solution

The fourth proportional to 75,861.50, 113,842.98 and 31,488.26 is: 47,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,861.50 : 113,842.98 = 31,488.26 : x
  2. Step 2: Convert to fraction form
    75,861.50/113,842.98 = 31,488.26/x
  3. Step 3: Cross multiply
    75,861.50x = 113,842.98 × 31,488.26
  4. Step 4: Simplify right side
    75,861.50x = 3,584,717,353.41
  5. Step 5: Solve for x
    x = 3,584,717,353.41/75,861.50
  6. Step 6: Final answer
    x = 47,253.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.