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Finding the Fourth Proportional to 72,705.60, 100,327.68 and 40,878

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Solution

The fourth proportional to 72,705.60, 100,327.68 and 40,878 is: 56,408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,705.60 : 100,327.68 = 40,878 : x
  2. Step 2: Convert to fraction form
    72,705.60/100,327.68 = 40,878/x
  3. Step 3: Cross multiply
    72,705.60x = 100,327.68 × 40,878
  4. Step 4: Simplify right side
    72,705.60x = 4,101,194,903.04
  5. Step 5: Solve for x
    x = 4,101,194,903.04/72,705.60
  6. Step 6: Final answer
    x = 56,408.24

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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.