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Finding the Fourth Proportional to 153,659.57, 211,974.98 and 102,684.92

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Solution

The fourth proportional to 153,659.57, 211,974.98 and 102,684.92 is: 141,654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,659.57 : 211,974.98 = 102,684.92 : x
  2. Step 2: Convert to fraction form
    153,659.57/211,974.98 = 102,684.92/x
  3. Step 3: Cross multiply
    153,659.57x = 211,974.98 × 102,684.92
  4. Step 4: Simplify right side
    153,659.57x = 21,766,632,290.00
  5. Step 5: Solve for x
    x = 21,766,632,290.00/153,659.57
  6. Step 6: Final answer
    x = 141,654.91

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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.