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Finding the Fourth Proportional to 202,953.78, 280,072.02 and 112,309.68

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Solution

The fourth proportional to 202,953.78, 280,072.02 and 112,309.68 is: 154,985.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,953.78 : 280,072.02 = 112,309.68 : x
  2. Step 2: Convert to fraction form
    202,953.78/280,072.02 = 112,309.68/x
  3. Step 3: Cross multiply
    202,953.78x = 280,072.02 × 112,309.68
  4. Step 4: Simplify right side
    202,953.78x = 31,454,798,943.15
  5. Step 5: Solve for x
    x = 31,454,798,943.15/202,953.78
  6. Step 6: Final answer
    x = 154,985.04

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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.