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Finding the Fourth Proportional to 258,472.50, 387,708.75 and 71,484

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Solution

The fourth proportional to 258,472.50, 387,708.75 and 71,484 is: 107,226

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,472.50 : 387,708.75 = 71,484 : x
  2. Step 2: Convert to fraction form
    258,472.50/387,708.75 = 71,484/x
  3. Step 3: Cross multiply
    258,472.50x = 387,708.75 × 71,484
  4. Step 4: Simplify right side
    258,472.50x = 27,714,972,285
  5. Step 5: Solve for x
    x = 27,714,972,285/258,472.50
  6. Step 6: Final answer
    x = 107,226

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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.