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Finding the Fourth Proportional to 91,970.81, 137,956.29 and 28,796.32

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Solution

The fourth proportional to 91,970.81, 137,956.29 and 28,796.32 is: 43,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,970.81 : 137,956.29 = 28,796.32 : x
  2. Step 2: Convert to fraction form
    91,970.81/137,956.29 = 28,796.32/x
  3. Step 3: Cross multiply
    91,970.81x = 137,956.29 × 28,796.32
  4. Step 4: Simplify right side
    91,970.81x = 3,972,633,472.85
  5. Step 5: Solve for x
    x = 3,972,633,472.85/91,970.81
  6. Step 6: Final answer
    x = 43,194.50

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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.