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Finding the Fourth Proportional to 198,259.36, 297,435.84 and 65,140

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Solution

The fourth proportional to 198,259.36, 297,435.84 and 65,140 is: 97,725.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,259.36 : 297,435.84 = 65,140 : x
  2. Step 2: Convert to fraction form
    198,259.36/297,435.84 = 65,140/x
  3. Step 3: Cross multiply
    198,259.36x = 297,435.84 × 65,140
  4. Step 4: Simplify right side
    198,259.36x = 19,374,970,617.60
  5. Step 5: Solve for x
    x = 19,374,970,617.60/198,259.36
  6. Step 6: Final answer
    x = 97,725.38

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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.