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Finding the Fourth Proportional to 54,139, 74,719.02 and 31,783

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Solution

The fourth proportional to 54,139, 74,719.02 and 31,783 is: 43,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,139 : 74,719.02 = 31,783 : x
  2. Step 2: Convert to fraction form
    54,139/74,719.02 = 31,783/x
  3. Step 3: Cross multiply
    54,139x = 74,719.02 × 31,783
  4. Step 4: Simplify right side
    54,139x = 2,374,794,612.66
  5. Step 5: Solve for x
    x = 2,374,794,612.66/54,139
  6. Step 6: Final answer
    x = 43,864.77

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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.