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Finding the Fourth Proportional to 243,765.45, 365,156.10 and 138,461.40

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Solution

The fourth proportional to 243,765.45, 365,156.10 and 138,461.40 is: 207,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,765.45 : 365,156.10 = 138,461.40 : x
  2. Step 2: Convert to fraction form
    243,765.45/365,156.10 = 138,461.40/x
  3. Step 3: Cross multiply
    243,765.45x = 365,156.10 × 138,461.40
  4. Step 4: Simplify right side
    243,765.45x = 50,560,024,824.54
  5. Step 5: Solve for x
    x = 50,560,024,824.54/243,765.45
  6. Step 6: Final answer
    x = 207,412.60

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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.