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Finding the Fourth Proportional to 65,792.24, 98,693.76 and 21,407.12

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Solution

The fourth proportional to 65,792.24, 98,693.76 and 21,407.12 is: 32,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,792.24 : 98,693.76 = 21,407.12 : x
  2. Step 2: Convert to fraction form
    65,792.24/98,693.76 = 21,407.12/x
  3. Step 3: Cross multiply
    65,792.24x = 98,693.76 × 21,407.12
  4. Step 4: Simplify right side
    65,792.24x = 2,112,749,163.57
  5. Step 5: Solve for x
    x = 2,112,749,163.57/65,792.24
  6. Step 6: Final answer
    x = 32,112.44

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1.5x scale

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.