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Finding the Fourth Proportional to 71,290, 98,376.84 and 39,023.98

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Solution

The fourth proportional to 71,290, 98,376.84 and 39,023.98 is: 53,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,290 : 98,376.84 = 39,023.98 : x
  2. Step 2: Convert to fraction form
    71,290/98,376.84 = 39,023.98/x
  3. Step 3: Cross multiply
    71,290x = 98,376.84 × 39,023.98
  4. Step 4: Simplify right side
    71,290x = 3,839,055,836.62
  5. Step 5: Solve for x
    x = 3,839,055,836.62/71,290
  6. Step 6: Final answer
    x = 53,851.25

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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.