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Finding the Fourth Proportional to 210,433.82, 315,717.96 and 75,406.72

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Solution

The fourth proportional to 210,433.82, 315,717.96 and 75,406.72 is: 113,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,433.82 : 315,717.96 = 75,406.72 : x
  2. Step 2: Convert to fraction form
    210,433.82/315,717.96 = 75,406.72/x
  3. Step 3: Cross multiply
    210,433.82x = 315,717.96 × 75,406.72
  4. Step 4: Simplify right side
    210,433.82x = 23,807,255,808.69
  5. Step 5: Solve for x
    x = 23,807,255,808.69/210,433.82
  6. Step 6: Final answer
    x = 113,134.17

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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.