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Finding the Fourth Proportional to 201,837, 278,535.06 and 112,413

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Solution

The fourth proportional to 201,837, 278,535.06 and 112,413 is: 155,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,837 : 278,535.06 = 112,413 : x
  2. Step 2: Convert to fraction form
    201,837/278,535.06 = 112,413/x
  3. Step 3: Cross multiply
    201,837x = 278,535.06 × 112,413
  4. Step 4: Simplify right side
    201,837x = 31,310,961,699.78
  5. Step 5: Solve for x
    x = 31,310,961,699.78/201,837
  6. Step 6: Final answer
    x = 155,129.94

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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.