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Finding the Fourth Proportional to 208,655.05, 312,903.98 and 75,502.37

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Solution

The fourth proportional to 208,655.05, 312,903.98 and 75,502.37 is: 113,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,655.05 : 312,903.98 = 75,502.37 : x
  2. Step 2: Convert to fraction form
    208,655.05/312,903.98 = 75,502.37/x
  3. Step 3: Cross multiply
    208,655.05x = 312,903.98 × 75,502.37
  4. Step 4: Simplify right side
    208,655.05x = 23,624,991,694.92
  5. Step 5: Solve for x
    x = 23,624,991,694.92/208,655.05
  6. Step 6: Final answer
    x = 113,225.11

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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.