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Finding the Fourth Proportional to 74,443.71, 102,690.74 and 45,743.43

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Solution

The fourth proportional to 74,443.71, 102,690.74 and 45,743.43 is: 63,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,443.71 : 102,690.74 = 45,743.43 : x
  2. Step 2: Convert to fraction form
    74,443.71/102,690.74 = 45,743.43/x
  3. Step 3: Cross multiply
    74,443.71x = 102,690.74 × 45,743.43
  4. Step 4: Simplify right side
    74,443.71x = 4,697,426,918.98
  5. Step 5: Solve for x
    x = 4,697,426,918.98/74,443.71
  6. Step 6: Final answer
    x = 63,100.39

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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.