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Finding the Fourth Proportional to 65,388.24, 98,073 and 21,009.15

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Solution

The fourth proportional to 65,388.24, 98,073 and 21,009.15 is: 31,510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,388.24 : 98,073 = 21,009.15 : x
  2. Step 2: Convert to fraction form
    65,388.24/98,073 = 21,009.15/x
  3. Step 3: Cross multiply
    65,388.24x = 98,073 × 21,009.15
  4. Step 4: Simplify right side
    65,388.24x = 2,060,430,367.95
  5. Step 5: Solve for x
    x = 2,060,430,367.95/65,388.24
  6. Step 6: Final answer
    x = 31,510.72

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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.