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Finding the Fourth Proportional to 243,880.98, 365,938.08 and 86,183.70

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Solution

The fourth proportional to 243,880.98, 365,938.08 and 86,183.70 is: 129,316.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,880.98 : 365,938.08 = 86,183.70 : x
  2. Step 2: Convert to fraction form
    243,880.98/365,938.08 = 86,183.70/x
  3. Step 3: Cross multiply
    243,880.98x = 365,938.08 × 86,183.70
  4. Step 4: Simplify right side
    243,880.98x = 31,537,897,705.30
  5. Step 5: Solve for x
    x = 31,537,897,705.30/243,880.98
  6. Step 6: Final answer
    x = 129,316.76

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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.