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Finding the Fourth Proportional to 86,238, 129,357 and 23,908.50

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Solution

The fourth proportional to 86,238, 129,357 and 23,908.50 is: 35,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,238 : 129,357 = 23,908.50 : x
  2. Step 2: Convert to fraction form
    86,238/129,357 = 23,908.50/x
  3. Step 3: Cross multiply
    86,238x = 129,357 × 23,908.50
  4. Step 4: Simplify right side
    86,238x = 3,092,731,834.50
  5. Step 5: Solve for x
    x = 3,092,731,834.50/86,238
  6. Step 6: Final answer
    x = 35,862.75

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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.