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Finding the Fourth Proportional to 218,075.52, 300,945.88 and 121,280.73

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Solution

The fourth proportional to 218,075.52, 300,945.88 and 121,280.73 is: 167,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,075.52 : 300,945.88 = 121,280.73 : x
  2. Step 2: Convert to fraction form
    218,075.52/300,945.88 = 121,280.73/x
  3. Step 3: Cross multiply
    218,075.52x = 300,945.88 × 121,280.73
  4. Step 4: Simplify right side
    218,075.52x = 36,498,935,039.95
  5. Step 5: Solve for x
    x = 36,498,935,039.95/218,075.52
  6. Step 6: Final answer
    x = 167,368.32

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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.