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Finding the Fourth Proportional to 212,077, 292,519.11 and 144,055.90

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Solution

The fourth proportional to 212,077, 292,519.11 and 144,055.90 is: 198,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,077 : 292,519.11 = 144,055.90 : x
  2. Step 2: Convert to fraction form
    212,077/292,519.11 = 144,055.90/x
  3. Step 3: Cross multiply
    212,077x = 292,519.11 × 144,055.90
  4. Step 4: Simplify right side
    212,077x = 42,139,103,658.25
  5. Step 5: Solve for x
    x = 42,139,103,658.25/212,077
  6. Step 6: Final answer
    x = 198,697.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.