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Finding the Fourth Proportional to 209,809.80, 314,845.92 and 85,150.80

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Solution

The fourth proportional to 209,809.80, 314,845.92 and 85,150.80 is: 127,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,809.80 : 314,845.92 = 85,150.80 : x
  2. Step 2: Convert to fraction form
    209,809.80/314,845.92 = 85,150.80/x
  3. Step 3: Cross multiply
    209,809.80x = 314,845.92 × 85,150.80
  4. Step 4: Simplify right side
    209,809.80x = 26,809,381,964.74
  5. Step 5: Solve for x
    x = 26,809,381,964.74/209,809.80
  6. Step 6: Final answer
    x = 127,779.46

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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.