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Finding the Fourth Proportional to 261,433, 360,777.54 and 142,201

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Solution

The fourth proportional to 261,433, 360,777.54 and 142,201 is: 196,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,433 : 360,777.54 = 142,201 : x
  2. Step 2: Convert to fraction form
    261,433/360,777.54 = 142,201/x
  3. Step 3: Cross multiply
    261,433x = 360,777.54 × 142,201
  4. Step 4: Simplify right side
    261,433x = 51,302,926,965.54
  5. Step 5: Solve for x
    x = 51,302,926,965.54/261,433
  6. Step 6: Final answer
    x = 196,237.38

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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.