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Finding the Fourth Proportional to 149,328.33, 223,874.08 and 78,237.33

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Solution

The fourth proportional to 149,328.33, 223,874.08 and 78,237.33 is: 117,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,328.33 : 223,874.08 = 78,237.33 : x
  2. Step 2: Convert to fraction form
    149,328.33/223,874.08 = 78,237.33/x
  3. Step 3: Cross multiply
    149,328.33x = 223,874.08 × 78,237.33
  4. Step 4: Simplify right side
    149,328.33x = 17,515,310,275.41
  5. Step 5: Solve for x
    x = 17,515,310,275.41/149,328.33
  6. Step 6: Final answer
    x = 117,293.96

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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.