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Finding the Fourth Proportional to 133,583.31, 200,360.95 and 70,378.00

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Solution

The fourth proportional to 133,583.31, 200,360.95 and 70,378.00 is: 105,559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,583.31 : 200,360.95 = 70,378.00 : x
  2. Step 2: Convert to fraction form
    133,583.31/200,360.95 = 70,378.00/x
  3. Step 3: Cross multiply
    133,583.31x = 200,360.95 × 70,378.00
  4. Step 4: Simplify right side
    133,583.31x = 14,101,002,262.25
  5. Step 5: Solve for x
    x = 14,101,002,262.25/133,583.31
  6. Step 6: Final answer
    x = 105,559.61

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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.