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Finding the Fourth Proportional to 86,157, 129,235.50 and 23,827.50

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Solution

The fourth proportional to 86,157, 129,235.50 and 23,827.50 is: 35,741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,157 : 129,235.50 = 23,827.50 : x
  2. Step 2: Convert to fraction form
    86,157/129,235.50 = 23,827.50/x
  3. Step 3: Cross multiply
    86,157x = 129,235.50 × 23,827.50
  4. Step 4: Simplify right side
    86,157x = 3,079,358,876.25
  5. Step 5: Solve for x
    x = 3,079,358,876.25/86,157
  6. Step 6: Final answer
    x = 35,741.25

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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.