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Finding the Fourth Proportional to 218,442.80, 301,465.32 and 122,940.56

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Solution

The fourth proportional to 218,442.80, 301,465.32 and 122,940.56 is: 169,666.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,442.80 : 301,465.32 = 122,940.56 : x
  2. Step 2: Convert to fraction form
    218,442.80/301,465.32 = 122,940.56/x
  3. Step 3: Cross multiply
    218,442.80x = 301,465.32 × 122,940.56
  4. Step 4: Simplify right side
    218,442.80x = 37,062,315,261.38
  5. Step 5: Solve for x
    x = 37,062,315,261.38/218,442.80
  6. Step 6: Final answer
    x = 169,666.00

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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.