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Finding the Fourth Proportional to 201,841.13, 278,540.76 and 112,417.13

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Solution

The fourth proportional to 201,841.13, 278,540.76 and 112,417.13 is: 155,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,841.13 : 278,540.76 = 112,417.13 : x
  2. Step 2: Convert to fraction form
    201,841.13/278,540.76 = 112,417.13/x
  3. Step 3: Cross multiply
    201,841.13x = 278,540.76 × 112,417.13
  4. Step 4: Simplify right side
    201,841.13x = 31,312,751,434.52
  5. Step 5: Solve for x
    x = 31,312,751,434.52/201,841.13
  6. Step 6: Final answer
    x = 155,135.64

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1.5x scale

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.