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Finding the Fourth Proportional to 65,814.50, 90,824.02 and 36,006.50

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Solution

The fourth proportional to 65,814.50, 90,824.02 and 36,006.50 is: 49,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,814.50 : 90,824.02 = 36,006.50 : x
  2. Step 2: Convert to fraction form
    65,814.50/90,824.02 = 36,006.50/x
  3. Step 3: Cross multiply
    65,814.50x = 90,824.02 × 36,006.50
  4. Step 4: Simplify right side
    65,814.50x = 3,270,255,076.13
  5. Step 5: Solve for x
    x = 3,270,255,076.13/65,814.50
  6. Step 6: Final answer
    x = 49,688.98

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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.