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Finding the Fourth Proportional to 258,498.92, 387,748.52 and 118,159.13

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Solution

The fourth proportional to 258,498.92, 387,748.52 and 118,159.13 is: 177,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,498.92 : 387,748.52 = 118,159.13 : x
  2. Step 2: Convert to fraction form
    258,498.92/387,748.52 = 118,159.13/x
  3. Step 3: Cross multiply
    258,498.92x = 387,748.52 × 118,159.13
  4. Step 4: Simplify right side
    258,498.92x = 45,816,025,252.45
  5. Step 5: Solve for x
    x = 45,816,025,252.45/258,498.92
  6. Step 6: Final answer
    x = 177,238.75

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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.