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Finding the Fourth Proportional to 255,941.68, 383,912.47 and 87,463.46

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Solution

The fourth proportional to 255,941.68, 383,912.47 and 87,463.46 is: 131,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,941.68 : 383,912.47 = 87,463.46 : x
  2. Step 2: Convert to fraction form
    255,941.68/383,912.47 = 87,463.46/x
  3. Step 3: Cross multiply
    255,941.68x = 383,912.47 × 87,463.46
  4. Step 4: Simplify right side
    255,941.68x = 33,578,312,963.35
  5. Step 5: Solve for x
    x = 33,578,312,963.35/255,941.68
  6. Step 6: Final answer
    x = 131,195.17

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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.