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Finding the Fourth Proportional to 78,407.50, 117,631.23 and 23,003.50

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Solution

The fourth proportional to 78,407.50, 117,631.23 and 23,003.50 is: 34,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,407.50 : 117,631.23 = 23,003.50 : x
  2. Step 2: Convert to fraction form
    78,407.50/117,631.23 = 23,003.50/x
  3. Step 3: Cross multiply
    78,407.50x = 117,631.23 × 23,003.50
  4. Step 4: Simplify right side
    78,407.50x = 2,705,929,999.31
  5. Step 5: Solve for x
    x = 2,705,929,999.31/78,407.50
  6. Step 6: Final answer
    x = 34,511.11

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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.