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Finding the Fourth Proportional to 201,620.40, 278,218.08 and 116,743.20

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Solution

The fourth proportional to 201,620.40, 278,218.08 and 116,743.20 is: 161,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,620.40 : 278,218.08 = 116,743.20 : x
  2. Step 2: Convert to fraction form
    201,620.40/278,218.08 = 116,743.20/x
  3. Step 3: Cross multiply
    201,620.40x = 278,218.08 × 116,743.20
  4. Step 4: Simplify right side
    201,620.40x = 32,480,068,957.06
  5. Step 5: Solve for x
    x = 32,480,068,957.06/201,620.40
  6. Step 6: Final answer
    x = 161,095.15

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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.