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Finding the Fourth Proportional to 262,107, 393,160.50 and 65,115

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Solution

The fourth proportional to 262,107, 393,160.50 and 65,115 is: 97,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,107 : 393,160.50 = 65,115 : x
  2. Step 2: Convert to fraction form
    262,107/393,160.50 = 65,115/x
  3. Step 3: Cross multiply
    262,107x = 393,160.50 × 65,115
  4. Step 4: Simplify right side
    262,107x = 25,600,645,957.50
  5. Step 5: Solve for x
    x = 25,600,645,957.50/262,107
  6. Step 6: Final answer
    x = 97,672.50

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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.