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Finding the Fourth Proportional to 119,497.37, 164,911.05 and 65,787.38

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Solution

The fourth proportional to 119,497.37, 164,911.05 and 65,787.38 is: 90,789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,497.37 : 164,911.05 = 65,787.38 : x
  2. Step 2: Convert to fraction form
    119,497.37/164,911.05 = 65,787.38/x
  3. Step 3: Cross multiply
    119,497.37x = 164,911.05 × 65,787.38
  4. Step 4: Simplify right side
    119,497.37x = 10,849,065,087.99
  5. Step 5: Solve for x
    x = 10,849,065,087.99/119,497.37
  6. Step 6: Final answer
    x = 90,789.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.