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Finding the Fourth Proportional to 202,238, 279,097.08 and 112,814

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Solution

The fourth proportional to 202,238, 279,097.08 and 112,814 is: 155,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,238 : 279,097.08 = 112,814 : x
  2. Step 2: Convert to fraction form
    202,238/279,097.08 = 112,814/x
  3. Step 3: Cross multiply
    202,238x = 279,097.08 × 112,814
  4. Step 4: Simplify right side
    202,238x = 31,486,057,983.12
  5. Step 5: Solve for x
    x = 31,486,057,983.12/202,238
  6. Step 6: Final answer
    x = 155,688.14

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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.