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Finding the Fourth Proportional to 65,902.65, 98,869.61 and 21,529.33

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Solution

The fourth proportional to 65,902.65, 98,869.61 and 21,529.33 is: 32,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,902.65 : 98,869.61 = 21,529.33 : x
  2. Step 2: Convert to fraction form
    65,902.65/98,869.61 = 21,529.33/x
  3. Step 3: Cross multiply
    65,902.65x = 98,869.61 × 21,529.33
  4. Step 4: Simplify right side
    65,902.65x = 2,128,596,267.31
  5. Step 5: Solve for x
    x = 2,128,596,267.31/65,902.65
  6. Step 6: Final answer
    x = 32,299.10

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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.