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Finding the Fourth Proportional to 65,743.50, 98,566.02 and 21,343.74

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Solution

The fourth proportional to 65,743.50, 98,566.02 and 21,343.74 is: 31,999.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,743.50 : 98,566.02 = 21,343.74 : x
  2. Step 2: Convert to fraction form
    65,743.50/98,566.02 = 21,343.74/x
  3. Step 3: Cross multiply
    65,743.50x = 98,566.02 × 21,343.74
  4. Step 4: Simplify right side
    65,743.50x = 2,103,767,503.71
  5. Step 5: Solve for x
    x = 2,103,767,503.71/65,743.50
  6. Step 6: Final answer
    x = 31,999.63

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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.