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Finding the Fourth Proportional to 155,763.90, 214,954.04 and 84,143.90

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Solution

The fourth proportional to 155,763.90, 214,954.04 and 84,143.90 is: 116,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,763.90 : 214,954.04 = 84,143.90 : x
  2. Step 2: Convert to fraction form
    155,763.90/214,954.04 = 84,143.90/x
  3. Step 3: Cross multiply
    155,763.90x = 214,954.04 × 84,143.90
  4. Step 4: Simplify right side
    155,763.90x = 18,087,071,994.10
  5. Step 5: Solve for x
    x = 18,087,071,994.10/155,763.90
  6. Step 6: Final answer
    x = 116,118.51

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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.