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Finding the Fourth Proportional to 65,217, 89,999.82 and 35,409

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Solution

The fourth proportional to 65,217, 89,999.82 and 35,409 is: 48,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,217 : 89,999.82 = 35,409 : x
  2. Step 2: Convert to fraction form
    65,217/89,999.82 = 35,409/x
  3. Step 3: Cross multiply
    65,217x = 89,999.82 × 35,409
  4. Step 4: Simplify right side
    65,217x = 3,186,803,626.38
  5. Step 5: Solve for x
    x = 3,186,803,626.38/65,217
  6. Step 6: Final answer
    x = 48,864.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.