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Finding the Fourth Proportional to 145,991.20, 218,970.60 and 40,820.80

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Solution

The fourth proportional to 145,991.20, 218,970.60 and 40,820.80 is: 61,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,991.20 : 218,970.60 = 40,820.80 : x
  2. Step 2: Convert to fraction form
    145,991.20/218,970.60 = 40,820.80/x
  3. Step 3: Cross multiply
    145,991.20x = 218,970.60 × 40,820.80
  4. Step 4: Simplify right side
    145,991.20x = 8,938,555,068.48
  5. Step 5: Solve for x
    x = 8,938,555,068.48/145,991.20
  6. Step 6: Final answer
    x = 61,226.67

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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.