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Finding the Fourth Proportional to 65,196.31, 97,802.70 and 18,449.20

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Solution

The fourth proportional to 65,196.31, 97,802.70 and 18,449.20 is: 27,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196.31 : 97,802.70 = 18,449.20 : x
  2. Step 2: Convert to fraction form
    65,196.31/97,802.70 = 18,449.20/x
  3. Step 3: Cross multiply
    65,196.31x = 97,802.70 × 18,449.20
  4. Step 4: Simplify right side
    65,196.31x = 1,804,381,572.84
  5. Step 5: Solve for x
    x = 1,804,381,572.84/65,196.31
  6. Step 6: Final answer
    x = 27,676.13

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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.