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Finding the Fourth Proportional to 72,762.60, 100,418.22 and 40,929.60

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Solution

The fourth proportional to 72,762.60, 100,418.22 and 40,929.60 is: 56,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,762.60 : 100,418.22 = 40,929.60 : x
  2. Step 2: Convert to fraction form
    72,762.60/100,418.22 = 40,929.60/x
  3. Step 3: Cross multiply
    72,762.60x = 100,418.22 × 40,929.60
  4. Step 4: Simplify right side
    72,762.60x = 4,110,077,577.31
  5. Step 5: Solve for x
    x = 4,110,077,577.31/72,762.60
  6. Step 6: Final answer
    x = 56,486.13

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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.