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Finding the Fourth Proportional to 155,787.90, 214,987.02 and 84,167.70

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Solution

The fourth proportional to 155,787.90, 214,987.02 and 84,167.70 is: 116,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,787.90 : 214,987.02 = 84,167.70 : x
  2. Step 2: Convert to fraction form
    155,787.90/214,987.02 = 84,167.70/x
  3. Step 3: Cross multiply
    155,787.90x = 214,987.02 × 84,167.70
  4. Step 4: Simplify right side
    155,787.90x = 18,094,963,003.25
  5. Step 5: Solve for x
    x = 18,094,963,003.25/155,787.90
  6. Step 6: Final answer
    x = 116,151.27

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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.