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Finding the Fourth Proportional to 86,628, 129,993.84 and 37,380

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Solution

The fourth proportional to 86,628, 129,993.84 and 37,380 is: 56,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,628 : 129,993.84 = 37,380 : x
  2. Step 2: Convert to fraction form
    86,628/129,993.84 = 37,380/x
  3. Step 3: Cross multiply
    86,628x = 129,993.84 × 37,380
  4. Step 4: Simplify right side
    86,628x = 4,859,169,739.20
  5. Step 5: Solve for x
    x = 4,859,169,739.20/86,628
  6. Step 6: Final answer
    x = 56,092.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.