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Finding the Fourth Proportional to 131,113.50, 180,936.64 and 71,497.50

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Solution

The fourth proportional to 131,113.50, 180,936.64 and 71,497.50 is: 98,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,113.50 : 180,936.64 = 71,497.50 : x
  2. Step 2: Convert to fraction form
    131,113.50/180,936.64 = 71,497.50/x
  3. Step 3: Cross multiply
    131,113.50x = 180,936.64 × 71,497.50
  4. Step 4: Simplify right side
    131,113.50x = 12,936,517,418.40
  5. Step 5: Solve for x
    x = 12,936,517,418.40/131,113.50
  6. Step 6: Final answer
    x = 98,666.56

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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.