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Finding the Fourth Proportional to 261,971.94, 393,034.59 and 84,475.38

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Solution

The fourth proportional to 261,971.94, 393,034.59 and 84,475.38 is: 126,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,971.94 : 393,034.59 = 84,475.38 : x
  2. Step 2: Convert to fraction form
    261,971.94/393,034.59 = 84,475.38/x
  3. Step 3: Cross multiply
    261,971.94x = 393,034.59 × 84,475.38
  4. Step 4: Simplify right side
    261,971.94x = 33,201,746,343.39
  5. Step 5: Solve for x
    x = 33,201,746,343.39/261,971.94
  6. Step 6: Final answer
    x = 126,737.80

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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.