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Finding the Fourth Proportional to 201,701.76, 278,337.60 and 112,272

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Solution

The fourth proportional to 201,701.76, 278,337.60 and 112,272 is: 154,929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,701.76 : 278,337.60 = 112,272 : x
  2. Step 2: Convert to fraction form
    201,701.76/278,337.60 = 112,272/x
  3. Step 3: Cross multiply
    201,701.76x = 278,337.60 × 112,272
  4. Step 4: Simplify right side
    201,701.76x = 31,249,519,027.20
  5. Step 5: Solve for x
    x = 31,249,519,027.20/201,701.76
  6. Step 6: Final answer
    x = 154,929.33

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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.