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Finding the Fourth Proportional to 194,462.80, 292,001.40 and 142,238.80

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Solution

The fourth proportional to 194,462.80, 292,001.40 and 142,238.80 is: 213,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,462.80 : 292,001.40 = 142,238.80 : x
  2. Step 2: Convert to fraction form
    194,462.80/292,001.40 = 142,238.80/x
  3. Step 3: Cross multiply
    194,462.80x = 292,001.40 × 142,238.80
  4. Step 4: Simplify right side
    194,462.80x = 41,533,928,734.32
  5. Step 5: Solve for x
    x = 41,533,928,734.32/194,462.80
  6. Step 6: Final answer
    x = 213,582.90

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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.