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Finding the Fourth Proportional to 86,348.84, 119,172.30 and 48,623

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Solution

The fourth proportional to 86,348.84, 119,172.30 and 48,623 is: 67,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,348.84 : 119,172.30 = 48,623 : x
  2. Step 2: Convert to fraction form
    86,348.84/119,172.30 = 48,623/x
  3. Step 3: Cross multiply
    86,348.84x = 119,172.30 × 48,623
  4. Step 4: Simplify right side
    86,348.84x = 5,794,514,742.90
  5. Step 5: Solve for x
    x = 5,794,514,742.90/86,348.84
  6. Step 6: Final answer
    x = 67,105.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.