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Finding the Fourth Proportional to 228,291.93, 315,169.56 and 137,670.84

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Solution

The fourth proportional to 228,291.93, 315,169.56 and 137,670.84 is: 190,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,291.93 : 315,169.56 = 137,670.84 : x
  2. Step 2: Convert to fraction form
    228,291.93/315,169.56 = 137,670.84/x
  3. Step 3: Cross multiply
    228,291.93x = 315,169.56 × 137,670.84
  4. Step 4: Simplify right side
    228,291.93x = 43,389,658,067.63
  5. Step 5: Solve for x
    x = 43,389,658,067.63/228,291.93
  6. Step 6: Final answer
    x = 190,062.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.