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Finding the Fourth Proportional to 65,006.65, 97,512.77 and 20,635.21

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Solution

The fourth proportional to 65,006.65, 97,512.77 and 20,635.21 is: 30,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,006.65 : 97,512.77 = 20,635.21 : x
  2. Step 2: Convert to fraction form
    65,006.65/97,512.77 = 20,635.21/x
  3. Step 3: Cross multiply
    65,006.65x = 97,512.77 × 20,635.21
  4. Step 4: Simplify right side
    65,006.65x = 2,012,196,486.63
  5. Step 5: Solve for x
    x = 2,012,196,486.63/65,006.65
  6. Step 6: Final answer
    x = 30,953.70

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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.