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Finding the Fourth Proportional to 91,099.91, 136,710.88 and 31,935.58

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Solution

The fourth proportional to 91,099.91, 136,710.88 and 31,935.58 is: 47,924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,099.91 : 136,710.88 = 31,935.58 : x
  2. Step 2: Convert to fraction form
    91,099.91/136,710.88 = 31,935.58/x
  3. Step 3: Cross multiply
    91,099.91x = 136,710.88 × 31,935.58
  4. Step 4: Simplify right side
    91,099.91x = 4,365,940,823.49
  5. Step 5: Solve for x
    x = 4,365,940,823.49/91,099.91
  6. Step 6: Final answer
    x = 47,924.75

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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.