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Finding the Fourth Proportional to 258,494.68, 387,742.16 and 81,015.52

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Solution

The fourth proportional to 258,494.68, 387,742.16 and 81,015.52 is: 121,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,494.68 : 387,742.16 = 81,015.52 : x
  2. Step 2: Convert to fraction form
    258,494.68/387,742.16 = 81,015.52/x
  3. Step 3: Cross multiply
    258,494.68x = 387,742.16 × 81,015.52
  4. Step 4: Simplify right side
    258,494.68x = 31,413,130,374.53
  5. Step 5: Solve for x
    x = 31,413,130,374.53/258,494.68
  6. Step 6: Final answer
    x = 121,523.32

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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.