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Finding the Fourth Proportional to 65,211.64, 97,780.74 and 20,827.96

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Solution

The fourth proportional to 65,211.64, 97,780.74 and 20,827.96 is: 31,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,211.64 : 97,780.74 = 20,827.96 : x
  2. Step 2: Convert to fraction form
    65,211.64/97,780.74 = 20,827.96/x
  3. Step 3: Cross multiply
    65,211.64x = 97,780.74 × 20,827.96
  4. Step 4: Simplify right side
    65,211.64x = 2,036,573,341.49
  5. Step 5: Solve for x
    x = 2,036,573,341.49/65,211.64
  6. Step 6: Final answer
    x = 31,230.21

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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.