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Finding the Fourth Proportional to 198,114.63, 297,018.45 and 64,911.75

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Solution

The fourth proportional to 198,114.63, 297,018.45 and 64,911.75 is: 97,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,114.63 : 297,018.45 = 64,911.75 : x
  2. Step 2: Convert to fraction form
    198,114.63/297,018.45 = 64,911.75/x
  3. Step 3: Cross multiply
    198,114.63x = 297,018.45 × 64,911.75
  4. Step 4: Simplify right side
    198,114.63x = 19,279,987,371.79
  5. Step 5: Solve for x
    x = 19,279,987,371.79/198,114.63
  6. Step 6: Final answer
    x = 97,317.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.