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Finding the Fourth Proportional to 257,866.48, 355,850.12 and 143,138.44

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Solution

The fourth proportional to 257,866.48, 355,850.12 and 143,138.44 is: 197,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,866.48 : 355,850.12 = 143,138.44 : x
  2. Step 2: Convert to fraction form
    257,866.48/355,850.12 = 143,138.44/x
  3. Step 3: Cross multiply
    257,866.48x = 355,850.12 × 143,138.44
  4. Step 4: Simplify right side
    257,866.48x = 50,935,831,050.61
  5. Step 5: Solve for x
    x = 50,935,831,050.61/257,866.48
  6. Step 6: Final answer
    x = 197,527.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.