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Finding the Fourth Proportional to 218,723, 301,837.74 and 118,121

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Solution

The fourth proportional to 218,723, 301,837.74 and 118,121 is: 163,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,723 : 301,837.74 = 118,121 : x
  2. Step 2: Convert to fraction form
    218,723/301,837.74 = 118,121/x
  3. Step 3: Cross multiply
    218,723x = 301,837.74 × 118,121
  4. Step 4: Simplify right side
    218,723x = 35,653,375,686.54
  5. Step 5: Solve for x
    x = 35,653,375,686.54/218,723
  6. Step 6: Final answer
    x = 163,006.98

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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.