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Finding the Fourth Proportional to 166,653, 229,981.14 and 91,201.50

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Solution

The fourth proportional to 166,653, 229,981.14 and 91,201.50 is: 125,858.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,653 : 229,981.14 = 91,201.50 : x
  2. Step 2: Convert to fraction form
    166,653/229,981.14 = 91,201.50/x
  3. Step 3: Cross multiply
    166,653x = 229,981.14 × 91,201.50
  4. Step 4: Simplify right side
    166,653x = 20,974,624,939.71
  5. Step 5: Solve for x
    x = 20,974,624,939.71/166,653
  6. Step 6: Final answer
    x = 125,858.07

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1.5x scale

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.