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Finding the Fourth Proportional to 65,182.58, 97,774.65 and 20,809.10

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Solution

The fourth proportional to 65,182.58, 97,774.65 and 20,809.10 is: 31,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,182.58 : 97,774.65 = 20,809.10 : x
  2. Step 2: Convert to fraction form
    65,182.58/97,774.65 = 20,809.10/x
  3. Step 3: Cross multiply
    65,182.58x = 97,774.65 × 20,809.10
  4. Step 4: Simplify right side
    65,182.58x = 2,034,602,469.32
  5. Step 5: Solve for x
    x = 2,034,602,469.32/65,182.58
  6. Step 6: Final answer
    x = 31,213.90

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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.