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Finding the Fourth Proportional to 133,406.10, 200,139 and 70,255.95

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Solution

The fourth proportional to 133,406.10, 200,139 and 70,255.95 is: 105,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,406.10 : 200,139 = 70,255.95 : x
  2. Step 2: Convert to fraction form
    133,406.10/200,139 = 70,255.95/x
  3. Step 3: Cross multiply
    133,406.10x = 200,139 × 70,255.95
  4. Step 4: Simplify right side
    133,406.10x = 14,060,955,577.05
  5. Step 5: Solve for x
    x = 14,060,955,577.05/133,406.10
  6. Step 6: Final answer
    x = 105,399.64

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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.