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Finding the Fourth Proportional to 218,308.70, 301,265.55 and 122,815.50

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Solution

The fourth proportional to 218,308.70, 301,265.55 and 122,815.50 is: 169,485.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,308.70 : 301,265.55 = 122,815.50 : x
  2. Step 2: Convert to fraction form
    218,308.70/301,265.55 = 122,815.50/x
  3. Step 3: Cross multiply
    218,308.70x = 301,265.55 × 122,815.50
  4. Step 4: Simplify right side
    218,308.70x = 37,000,079,156.03
  5. Step 5: Solve for x
    x = 37,000,079,156.03/218,308.70
  6. Step 6: Final answer
    x = 169,485.14

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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.