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Finding the Fourth Proportional to 202,881.99, 304,263.50 and 76,431

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Solution

The fourth proportional to 202,881.99, 304,263.50 and 76,431 is: 114,624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,881.99 : 304,263.50 = 76,431 : x
  2. Step 2: Convert to fraction form
    202,881.99/304,263.50 = 76,431/x
  3. Step 3: Cross multiply
    202,881.99x = 304,263.50 × 76,431
  4. Step 4: Simplify right side
    202,881.99x = 23,255,163,568.50
  5. Step 5: Solve for x
    x = 23,255,163,568.50/202,881.99
  6. Step 6: Final answer
    x = 114,624.09

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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.