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Finding the Fourth Proportional to 155,717.87, 214,890.62 and 84,097.89

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Solution

The fourth proportional to 155,717.87, 214,890.62 and 84,097.89 is: 116,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,717.87 : 214,890.62 = 84,097.89 : x
  2. Step 2: Convert to fraction form
    155,717.87/214,890.62 = 84,097.89/x
  3. Step 3: Cross multiply
    155,717.87x = 214,890.62 × 84,097.89
  4. Step 4: Simplify right side
    155,717.87x = 18,071,847,302.30
  5. Step 5: Solve for x
    x = 18,071,847,302.30/155,717.87
  6. Step 6: Final answer
    x = 116,055.07

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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.