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Finding the Fourth Proportional to 218,437.25, 301,442.78 and 122,943.93

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Solution

The fourth proportional to 218,437.25, 301,442.78 and 122,943.93 is: 169,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,437.25 : 301,442.78 = 122,943.93 : x
  2. Step 2: Convert to fraction form
    218,437.25/301,442.78 = 122,943.93/x
  3. Step 3: Cross multiply
    218,437.25x = 301,442.78 × 122,943.93
  4. Step 4: Simplify right side
    218,437.25x = 37,060,559,428.61
  5. Step 5: Solve for x
    x = 37,060,559,428.61/218,437.25
  6. Step 6: Final answer
    x = 169,662.27

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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.