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Finding the Fourth Proportional to 229,067.15, 316,098.40 and 138,369.53

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Solution

The fourth proportional to 229,067.15, 316,098.40 and 138,369.53 is: 190,941.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,067.15 : 316,098.40 = 138,369.53 : x
  2. Step 2: Convert to fraction form
    229,067.15/316,098.40 = 138,369.53/x
  3. Step 3: Cross multiply
    229,067.15x = 316,098.40 × 138,369.53
  4. Step 4: Simplify right side
    229,067.15x = 43,738,387,041.75
  5. Step 5: Solve for x
    x = 43,738,387,041.75/229,067.15
  6. Step 6: Final answer
    x = 190,941.33

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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.