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Finding the Fourth Proportional to 69,792.48, 96,315.12 and 39,984.48

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Solution

The fourth proportional to 69,792.48, 96,315.12 and 39,984.48 is: 55,179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,792.48 : 96,315.12 = 39,984.48 : x
  2. Step 2: Convert to fraction form
    69,792.48/96,315.12 = 39,984.48/x
  3. Step 3: Cross multiply
    69,792.48x = 96,315.12 × 39,984.48
  4. Step 4: Simplify right side
    69,792.48x = 3,851,109,989.34
  5. Step 5: Solve for x
    x = 3,851,109,989.34/69,792.48
  6. Step 6: Final answer
    x = 55,179.44

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1.5x scale

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.