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Finding the Fourth Proportional to 258,046.94, 387,070.45 and 80,569.16

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Solution

The fourth proportional to 258,046.94, 387,070.45 and 80,569.16 is: 120,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,046.94 : 387,070.45 = 80,569.16 : x
  2. Step 2: Convert to fraction form
    258,046.94/387,070.45 = 80,569.16/x
  3. Step 3: Cross multiply
    258,046.94x = 387,070.45 × 80,569.16
  4. Step 4: Simplify right side
    258,046.94x = 31,185,939,243.43
  5. Step 5: Solve for x
    x = 31,185,939,243.43/258,046.94
  6. Step 6: Final answer
    x = 120,853.75

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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.