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Finding the Fourth Proportional to 258,112.90, 387,415.62 and 158,467.71

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Solution

The fourth proportional to 258,112.90, 387,415.62 and 158,467.71 is: 237,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,112.90 : 387,415.62 = 158,467.71 : x
  2. Step 2: Convert to fraction form
    258,112.90/387,415.62 = 158,467.71/x
  3. Step 3: Cross multiply
    258,112.90x = 387,415.62 × 158,467.71
  4. Step 4: Simplify right side
    258,112.90x = 61,392,865,327.29
  5. Step 5: Solve for x
    x = 61,392,865,327.29/258,112.90
  6. Step 6: Final answer
    x = 237,852.76

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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.