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Finding the Fourth Proportional to 74,734.66, 103,054.71 and 47,878.30

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Solution

The fourth proportional to 74,734.66, 103,054.71 and 47,878.30 is: 66,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,734.66 : 103,054.71 = 47,878.30 : x
  2. Step 2: Convert to fraction form
    74,734.66/103,054.71 = 47,878.30/x
  3. Step 3: Cross multiply
    74,734.66x = 103,054.71 × 47,878.30
  4. Step 4: Simplify right side
    74,734.66x = 4,934,084,321.79
  5. Step 5: Solve for x
    x = 4,934,084,321.79/74,734.66
  6. Step 6: Final answer
    x = 66,021.37

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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.