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Finding the Fourth Proportional to 65,911, 90,957.50 and 36,103

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Solution

The fourth proportional to 65,911, 90,957.50 and 36,103 is: 49,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,911 : 90,957.50 = 36,103 : x
  2. Step 2: Convert to fraction form
    65,911/90,957.50 = 36,103/x
  3. Step 3: Cross multiply
    65,911x = 90,957.50 × 36,103
  4. Step 4: Simplify right side
    65,911x = 3,283,838,622.50
  5. Step 5: Solve for x
    x = 3,283,838,622.50/65,911
  6. Step 6: Final answer
    x = 49,822.32

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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.