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Finding the Fourth Proportional to 70,940.80, 106,265.40 and 48,779.20

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Solution

The fourth proportional to 70,940.80, 106,265.40 and 48,779.20 is: 73,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,940.80 : 106,265.40 = 48,779.20 : x
  2. Step 2: Convert to fraction form
    70,940.80/106,265.40 = 48,779.20/x
  3. Step 3: Cross multiply
    70,940.80x = 106,265.40 × 48,779.20
  4. Step 4: Simplify right side
    70,940.80x = 5,183,541,199.68
  5. Step 5: Solve for x
    x = 5,183,541,199.68/70,940.80
  6. Step 6: Final answer
    x = 73,068.55

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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.