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Finding the Fourth Proportional to 218,775.08, 301,907.82 and 121,977.78

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Solution

The fourth proportional to 218,775.08, 301,907.82 and 121,977.78 is: 168,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,775.08 : 301,907.82 = 121,977.78 : x
  2. Step 2: Convert to fraction form
    218,775.08/301,907.82 = 121,977.78/x
  3. Step 3: Cross multiply
    218,775.08x = 301,907.82 × 121,977.78
  4. Step 4: Simplify right side
    218,775.08x = 36,826,045,038.35
  5. Step 5: Solve for x
    x = 36,826,045,038.35/218,775.08
  6. Step 6: Final answer
    x = 168,328.34

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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.