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Finding the Fourth Proportional to 213,191.44, 319,954.20 and 148,730.36

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Solution

The fourth proportional to 213,191.44, 319,954.20 and 148,730.36 is: 223,212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,191.44 : 319,954.20 = 148,730.36 : x
  2. Step 2: Convert to fraction form
    213,191.44/319,954.20 = 148,730.36/x
  3. Step 3: Cross multiply
    213,191.44x = 319,954.20 × 148,730.36
  4. Step 4: Simplify right side
    213,191.44x = 47,586,903,349.51
  5. Step 5: Solve for x
    x = 47,586,903,349.51/213,191.44
  6. Step 6: Final answer
    x = 223,212.07

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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.