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Finding the Fourth Proportional to 86,281, 119,072.64 and 48,557.68

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Solution

The fourth proportional to 86,281, 119,072.64 and 48,557.68 is: 67,012.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,281 : 119,072.64 = 48,557.68 : x
  2. Step 2: Convert to fraction form
    86,281/119,072.64 = 48,557.68/x
  3. Step 3: Cross multiply
    86,281x = 119,072.64 × 48,557.68
  4. Step 4: Simplify right side
    86,281x = 5,781,891,149.88
  5. Step 5: Solve for x
    x = 5,781,891,149.88/86,281
  6. Step 6: Final answer
    x = 67,012.33

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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.