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Finding the Fourth Proportional to 74,260, 102,478.80 and 40,726

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Solution

The fourth proportional to 74,260, 102,478.80 and 40,726 is: 56,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,260 : 102,478.80 = 40,726 : x
  2. Step 2: Convert to fraction form
    74,260/102,478.80 = 40,726/x
  3. Step 3: Cross multiply
    74,260x = 102,478.80 × 40,726
  4. Step 4: Simplify right side
    74,260x = 4,173,551,608.80
  5. Step 5: Solve for x
    x = 4,173,551,608.80/74,260
  6. Step 6: Final answer
    x = 56,201.88

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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.