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Finding the Fourth Proportional to 74,551.30, 102,881.61 and 40,559.98

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Solution

The fourth proportional to 74,551.30, 102,881.61 and 40,559.98 is: 55,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,551.30 : 102,881.61 = 40,559.98 : x
  2. Step 2: Convert to fraction form
    74,551.30/102,881.61 = 40,559.98/x
  3. Step 3: Cross multiply
    74,551.30x = 102,881.61 × 40,559.98
  4. Step 4: Simplify right side
    74,551.30x = 4,172,876,043.97
  5. Step 5: Solve for x
    x = 4,172,876,043.97/74,551.30
  6. Step 6: Final answer
    x = 55,973.22

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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.