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Finding the Fourth Proportional to 76,074, 104,980.23 and 42,083.84

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Solution

The fourth proportional to 76,074, 104,980.23 and 42,083.84 is: 58,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,074 : 104,980.23 = 42,083.84 : x
  2. Step 2: Convert to fraction form
    76,074/104,980.23 = 42,083.84/x
  3. Step 3: Cross multiply
    76,074x = 104,980.23 × 42,083.84
  4. Step 4: Simplify right side
    76,074x = 4,417,971,202.48
  5. Step 5: Solve for x
    x = 4,417,971,202.48/76,074
  6. Step 6: Final answer
    x = 58,074.65

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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.