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Finding the Fourth Proportional to 258,641.70, 387,731.70 and 100,833.45

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Solution

The fourth proportional to 258,641.70, 387,731.70 and 100,833.45 is: 151,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,641.70 : 387,731.70 = 100,833.45 : x
  2. Step 2: Convert to fraction form
    258,641.70/387,731.70 = 100,833.45/x
  3. Step 3: Cross multiply
    258,641.70x = 387,731.70 × 100,833.45
  4. Step 4: Simplify right side
    258,641.70x = 39,096,324,985.37
  5. Step 5: Solve for x
    x = 39,096,324,985.37/258,641.70
  6. Step 6: Final answer
    x = 151,160.18

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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.