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Finding the Fourth Proportional to 53,090.34, 73,274.07 and 31,870.97

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Solution

The fourth proportional to 53,090.34, 73,274.07 and 31,870.97 is: 43,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,090.34 : 73,274.07 = 31,870.97 : x
  2. Step 2: Convert to fraction form
    53,090.34/73,274.07 = 31,870.97/x
  3. Step 3: Cross multiply
    53,090.34x = 73,274.07 × 31,870.97
  4. Step 4: Simplify right side
    53,090.34x = 2,335,315,535.40
  5. Step 5: Solve for x
    x = 2,335,315,535.40/53,090.34
  6. Step 6: Final answer
    x = 43,987.58

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