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Finding the Fourth Proportional to 133,296.81, 199,904.85 and 70,082.87

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Solution

The fourth proportional to 133,296.81, 199,904.85 and 70,082.87 is: 105,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,296.81 : 199,904.85 = 70,082.87 : x
  2. Step 2: Convert to fraction form
    133,296.81/199,904.85 = 70,082.87/x
  3. Step 3: Cross multiply
    133,296.81x = 199,904.85 × 70,082.87
  4. Step 4: Simplify right side
    133,296.81x = 14,009,904,615.40
  5. Step 5: Solve for x
    x = 14,009,904,615.40/133,296.81
  6. Step 6: Final answer
    x = 105,103.07

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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.