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Finding the Fourth Proportional to 213,032.80, 319,779.60 and 119,720.80

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Solution

The fourth proportional to 213,032.80, 319,779.60 and 119,720.80 is: 179,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,032.80 : 319,779.60 = 119,720.80 : x
  2. Step 2: Convert to fraction form
    213,032.80/319,779.60 = 119,720.80/x
  3. Step 3: Cross multiply
    213,032.80x = 319,779.60 × 119,720.80
  4. Step 4: Simplify right side
    213,032.80x = 38,284,269,535.68
  5. Step 5: Solve for x
    x = 38,284,269,535.68/213,032.80
  6. Step 6: Final answer
    x = 179,710.68

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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.