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Finding the Fourth Proportional to 91,095, 136,642.50 and 28,765.50

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Solution

The fourth proportional to 91,095, 136,642.50 and 28,765.50 is: 43,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,095 : 136,642.50 = 28,765.50 : x
  2. Step 2: Convert to fraction form
    91,095/136,642.50 = 28,765.50/x
  3. Step 3: Cross multiply
    91,095x = 136,642.50 × 28,765.50
  4. Step 4: Simplify right side
    91,095x = 3,930,589,833.75
  5. Step 5: Solve for x
    x = 3,930,589,833.75/91,095
  6. Step 6: Final answer
    x = 43,148.25

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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.