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Finding the Fourth Proportional to 72,829.97, 100,536.42 and 48,970.47

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Solution

The fourth proportional to 72,829.97, 100,536.42 and 48,970.47 is: 67,600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,829.97 : 100,536.42 = 48,970.47 : x
  2. Step 2: Convert to fraction form
    72,829.97/100,536.42 = 48,970.47/x
  3. Step 3: Cross multiply
    72,829.97x = 100,536.42 × 48,970.47
  4. Step 4: Simplify right side
    72,829.97x = 4,923,315,739.52
  5. Step 5: Solve for x
    x = 4,923,315,739.52/72,829.97
  6. Step 6: Final answer
    x = 67,600.13

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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.