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Finding the Fourth Proportional to 200,802.60, 277,168.50 and 115,979.40

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Solution

The fourth proportional to 200,802.60, 277,168.50 and 115,979.40 is: 160,086.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,802.60 : 277,168.50 = 115,979.40 : x
  2. Step 2: Convert to fraction form
    200,802.60/277,168.50 = 115,979.40/x
  3. Step 3: Cross multiply
    200,802.60x = 277,168.50 × 115,979.40
  4. Step 4: Simplify right side
    200,802.60x = 32,145,836,328.90
  5. Step 5: Solve for x
    x = 32,145,836,328.90/200,802.60
  6. Step 6: Final answer
    x = 160,086.75

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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.