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Finding the Fourth Proportional to 218,098.98, 300,953.64 and 121,287.15

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Solution

The fourth proportional to 218,098.98, 300,953.64 and 121,287.15 is: 167,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,098.98 : 300,953.64 = 121,287.15 : x
  2. Step 2: Convert to fraction form
    218,098.98/300,953.64 = 121,287.15/x
  3. Step 3: Cross multiply
    218,098.98x = 300,953.64 × 121,287.15
  4. Step 4: Simplify right side
    218,098.98x = 36,501,809,277.73
  5. Step 5: Solve for x
    x = 36,501,809,277.73/218,098.98
  6. Step 6: Final answer
    x = 167,363.50

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1.5x scale

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.