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Finding the Fourth Proportional to 258,230.86, 387,368.61 and 71,242.36

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Solution

The fourth proportional to 258,230.86, 387,368.61 and 71,242.36 is: 106,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,230.86 : 387,368.61 = 71,242.36 : x
  2. Step 2: Convert to fraction form
    258,230.86/387,368.61 = 71,242.36/x
  3. Step 3: Cross multiply
    258,230.86x = 387,368.61 × 71,242.36
  4. Step 4: Simplify right side
    258,230.86x = 27,597,051,673.26
  5. Step 5: Solve for x
    x = 27,597,051,673.26/258,230.86
  6. Step 6: Final answer
    x = 106,869.69

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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.