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Finding the Fourth Proportional to 202,355.75, 279,250.94 and 112,931.75

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Solution

The fourth proportional to 202,355.75, 279,250.94 and 112,931.75 is: 155,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,355.75 : 279,250.94 = 112,931.75 : x
  2. Step 2: Convert to fraction form
    202,355.75/279,250.94 = 112,931.75/x
  3. Step 3: Cross multiply
    202,355.75x = 279,250.94 × 112,931.75
  4. Step 4: Simplify right side
    202,355.75x = 31,536,297,343.35
  5. Step 5: Solve for x
    x = 31,536,297,343.35/202,355.75
  6. Step 6: Final answer
    x = 155,845.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.