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Finding the Fourth Proportional to 62,212.50, 85,853.26 and 39,856.50

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Solution

The fourth proportional to 62,212.50, 85,853.26 and 39,856.50 is: 55,001.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,212.50 : 85,853.26 = 39,856.50 : x
  2. Step 2: Convert to fraction form
    62,212.50/85,853.26 = 39,856.50/x
  3. Step 3: Cross multiply
    62,212.50x = 85,853.26 × 39,856.50
  4. Step 4: Simplify right side
    62,212.50x = 3,421,810,457.19
  5. Step 5: Solve for x
    x = 3,421,810,457.19/62,212.50
  6. Step 6: Final answer
    x = 55,001.98

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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.