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Finding the Fourth Proportional to 86,159, 129,238.50 and 23,829.50

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Solution

The fourth proportional to 86,159, 129,238.50 and 23,829.50 is: 35,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,159 : 129,238.50 = 23,829.50 : x
  2. Step 2: Convert to fraction form
    86,159/129,238.50 = 23,829.50/x
  3. Step 3: Cross multiply
    86,159x = 129,238.50 × 23,829.50
  4. Step 4: Simplify right side
    86,159x = 3,079,688,835.75
  5. Step 5: Solve for x
    x = 3,079,688,835.75/86,159
  6. Step 6: Final answer
    x = 35,744.25

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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.