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Finding the Fourth Proportional to 230,779.20, 345,974.40 and 119,971.20

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Solution

The fourth proportional to 230,779.20, 345,974.40 and 119,971.20 is: 179,855.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,779.20 : 345,974.40 = 119,971.20 : x
  2. Step 2: Convert to fraction form
    230,779.20/345,974.40 = 119,971.20/x
  3. Step 3: Cross multiply
    230,779.20x = 345,974.40 × 119,971.20
  4. Step 4: Simplify right side
    230,779.20x = 41,506,963,937.28
  5. Step 5: Solve for x
    x = 41,506,963,937.28/230,779.20
  6. Step 6: Final answer
    x = 179,855.74

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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.