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Finding the Fourth Proportional to 65,204.34, 97,814.70 and 18,457.20

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Solution

The fourth proportional to 65,204.34, 97,814.70 and 18,457.20 is: 27,688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,204.34 : 97,814.70 = 18,457.20 : x
  2. Step 2: Convert to fraction form
    65,204.34/97,814.70 = 18,457.20/x
  3. Step 3: Cross multiply
    65,204.34x = 97,814.70 × 18,457.20
  4. Step 4: Simplify right side
    65,204.34x = 1,805,385,480.84
  5. Step 5: Solve for x
    x = 1,805,385,480.84/65,204.34
  6. Step 6: Final answer
    x = 27,688.12

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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.