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Finding the Fourth Proportional to 74,203.98, 102,411.99 and 45,918.78

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Solution

The fourth proportional to 74,203.98, 102,411.99 and 45,918.78 is: 63,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,203.98 : 102,411.99 = 45,918.78 : x
  2. Step 2: Convert to fraction form
    74,203.98/102,411.99 = 45,918.78/x
  3. Step 3: Cross multiply
    74,203.98x = 102,411.99 × 45,918.78
  4. Step 4: Simplify right side
    74,203.98x = 4,702,633,638.17
  5. Step 5: Solve for x
    x = 4,702,633,638.17/74,203.98
  6. Step 6: Final answer
    x = 63,374.41

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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.