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Finding the Fourth Proportional to 202,036.36, 278,819.70 and 112,613

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Solution

The fourth proportional to 202,036.36, 278,819.70 and 112,613 is: 155,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,036.36 : 278,819.70 = 112,613 : x
  2. Step 2: Convert to fraction form
    202,036.36/278,819.70 = 112,613/x
  3. Step 3: Cross multiply
    202,036.36x = 278,819.70 × 112,613
  4. Step 4: Simplify right side
    202,036.36x = 31,398,722,876.10
  5. Step 5: Solve for x
    x = 31,398,722,876.10/202,036.36
  6. Step 6: Final answer
    x = 155,411.25

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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.