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Finding the Fourth Proportional to 74,456.88, 102,750.90 and 40,465.64

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Solution

The fourth proportional to 74,456.88, 102,750.90 and 40,465.64 is: 55,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,456.88 : 102,750.90 = 40,465.64 : x
  2. Step 2: Convert to fraction form
    74,456.88/102,750.90 = 40,465.64/x
  3. Step 3: Cross multiply
    74,456.88x = 102,750.90 × 40,465.64
  4. Step 4: Simplify right side
    74,456.88x = 4,157,880,929.08
  5. Step 5: Solve for x
    x = 4,157,880,929.08/74,456.88
  6. Step 6: Final answer
    x = 55,842.80

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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.