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Finding the Fourth Proportional to 155,655.26, 214,788.74 and 87,670.34

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Solution

The fourth proportional to 155,655.26, 214,788.74 and 87,670.34 is: 120,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,655.26 : 214,788.74 = 87,670.34 : x
  2. Step 2: Convert to fraction form
    155,655.26/214,788.74 = 87,670.34/x
  3. Step 3: Cross multiply
    155,655.26x = 214,788.74 × 87,670.34
  4. Step 4: Simplify right side
    155,655.26x = 18,830,601,863.97
  5. Step 5: Solve for x
    x = 18,830,601,863.97/155,655.26
  6. Step 6: Final answer
    x = 120,976.33

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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.