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Finding the Fourth Proportional to 65,197.90, 97,802.25 and 20,830.96

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Solution

The fourth proportional to 65,197.90, 97,802.25 and 20,830.96 is: 31,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,197.90 : 97,802.25 = 20,830.96 : x
  2. Step 2: Convert to fraction form
    65,197.90/97,802.25 = 20,830.96/x
  3. Step 3: Cross multiply
    65,197.90x = 97,802.25 × 20,830.96
  4. Step 4: Simplify right side
    65,197.90x = 2,037,314,757.66
  5. Step 5: Solve for x
    x = 2,037,314,757.66/65,197.90
  6. Step 6: Final answer
    x = 31,248.17

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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.