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Finding the Fourth Proportional to 145,846.60, 218,742.90 and 40,643.80

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Solution

The fourth proportional to 145,846.60, 218,742.90 and 40,643.80 is: 60,958.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,846.60 : 218,742.90 = 40,643.80 : x
  2. Step 2: Convert to fraction form
    145,846.60/218,742.90 = 40,643.80/x
  3. Step 3: Cross multiply
    145,846.60x = 218,742.90 × 40,643.80
  4. Step 4: Simplify right side
    145,846.60x = 8,890,542,679.02
  5. Step 5: Solve for x
    x = 8,890,542,679.02/145,846.60
  6. Step 6: Final answer
    x = 60,958.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.