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Finding the Fourth Proportional to 136,728.51, 205,066.79 and 57,898.09

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Solution

The fourth proportional to 136,728.51, 205,066.79 and 57,898.09 is: 86,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,728.51 : 205,066.79 = 57,898.09 : x
  2. Step 2: Convert to fraction form
    136,728.51/205,066.79 = 57,898.09/x
  3. Step 3: Cross multiply
    136,728.51x = 205,066.79 × 57,898.09
  4. Step 4: Simplify right side
    136,728.51x = 11,872,975,647.39
  5. Step 5: Solve for x
    x = 11,872,975,647.39/136,728.51
  6. Step 6: Final answer
    x = 86,836.14

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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.