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Finding the Fourth Proportional to 258,493.68, 387,740.65 and 81,014.51

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Solution

The fourth proportional to 258,493.68, 387,740.65 and 81,014.51 is: 121,521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,493.68 : 387,740.65 = 81,014.51 : x
  2. Step 2: Convert to fraction form
    258,493.68/387,740.65 = 81,014.51/x
  3. Step 3: Cross multiply
    258,493.68x = 387,740.65 × 81,014.51
  4. Step 4: Simplify right side
    258,493.68x = 31,412,618,766.83
  5. Step 5: Solve for x
    x = 31,412,618,766.83/258,493.68
  6. Step 6: Final answer
    x = 121,521.81

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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.