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Finding the Fourth Proportional to 64,747.52, 89,350.80 and 36,458

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Solution

The fourth proportional to 64,747.52, 89,350.80 and 36,458 is: 50,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,747.52 : 89,350.80 = 36,458 : x
  2. Step 2: Convert to fraction form
    64,747.52/89,350.80 = 36,458/x
  3. Step 3: Cross multiply
    64,747.52x = 89,350.80 × 36,458
  4. Step 4: Simplify right side
    64,747.52x = 3,257,551,466.40
  5. Step 5: Solve for x
    x = 3,257,551,466.40/64,747.52
  6. Step 6: Final answer
    x = 50,311.60

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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.