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Finding the Fourth Proportional to 86,268, 129,402 and 23,938.50

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Solution

The fourth proportional to 86,268, 129,402 and 23,938.50 is: 35,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,268 : 129,402 = 23,938.50 : x
  2. Step 2: Convert to fraction form
    86,268/129,402 = 23,938.50/x
  3. Step 3: Cross multiply
    86,268x = 129,402 × 23,938.50
  4. Step 4: Simplify right side
    86,268x = 3,097,689,777
  5. Step 5: Solve for x
    x = 3,097,689,777/86,268
  6. Step 6: Final answer
    x = 35,907.75

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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.