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Finding the Fourth Proportional to 54,330.69, 74,978.30 and 31,666.03

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Solution

The fourth proportional to 54,330.69, 74,978.30 and 31,666.03 is: 43,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,330.69 : 74,978.30 = 31,666.03 : x
  2. Step 2: Convert to fraction form
    54,330.69/74,978.30 = 31,666.03/x
  3. Step 3: Cross multiply
    54,330.69x = 74,978.30 × 31,666.03
  4. Step 4: Simplify right side
    54,330.69x = 2,374,264,660.78
  5. Step 5: Solve for x
    x = 2,374,264,660.78/54,330.69
  6. Step 6: Final answer
    x = 43,700.25

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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.