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Finding the Fourth Proportional to 147,965.50, 204,193.11 and 80,897.50

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Solution

The fourth proportional to 147,965.50, 204,193.11 and 80,897.50 is: 111,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,965.50 : 204,193.11 = 80,897.50 : x
  2. Step 2: Convert to fraction form
    147,965.50/204,193.11 = 80,897.50/x
  3. Step 3: Cross multiply
    147,965.50x = 204,193.11 × 80,897.50
  4. Step 4: Simplify right side
    147,965.50x = 16,518,712,116.23
  5. Step 5: Solve for x
    x = 16,518,712,116.23/147,965.50
  6. Step 6: Final answer
    x = 111,638.94

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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.