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Finding the Fourth Proportional to 198,036.88, 297,116.60 and 64,918.16

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Solution

The fourth proportional to 198,036.88, 297,116.60 and 64,918.16 is: 97,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,036.88 : 297,116.60 = 64,918.16 : x
  2. Step 2: Convert to fraction form
    198,036.88/297,116.60 = 64,918.16/x
  3. Step 3: Cross multiply
    198,036.88x = 297,116.60 × 64,918.16
  4. Step 4: Simplify right side
    198,036.88x = 19,288,262,977.46
  5. Step 5: Solve for x
    x = 19,288,262,977.46/198,036.88
  6. Step 6: Final answer
    x = 97,397.33

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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.