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Finding the Fourth Proportional to 72,808.97, 100,448.96 and 42,584.63

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Solution

The fourth proportional to 72,808.97, 100,448.96 and 42,584.63 is: 58,750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,808.97 : 100,448.96 = 42,584.63 : x
  2. Step 2: Convert to fraction form
    72,808.97/100,448.96 = 42,584.63/x
  3. Step 3: Cross multiply
    72,808.97x = 100,448.96 × 42,584.63
  4. Step 4: Simplify right side
    72,808.97x = 4,277,581,080.32
  5. Step 5: Solve for x
    x = 4,277,581,080.32/72,808.97
  6. Step 6: Final answer
    x = 58,750.75

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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.