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Finding the Fourth Proportional to 243,743.70, 365,650.20 and 75,277.74

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Solution

The fourth proportional to 243,743.70, 365,650.20 and 75,277.74 is: 112,927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,743.70 : 365,650.20 = 75,277.74 : x
  2. Step 2: Convert to fraction form
    243,743.70/365,650.20 = 75,277.74/x
  3. Step 3: Cross multiply
    243,743.70x = 365,650.20 × 75,277.74
  4. Step 4: Simplify right side
    243,743.70x = 27,525,320,686.55
  5. Step 5: Solve for x
    x = 27,525,320,686.55/243,743.70
  6. Step 6: Final answer
    x = 112,927.31

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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.