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Finding the Fourth Proportional to 238,323.96, 328,749.80 and 142,775.31

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Solution

The fourth proportional to 238,323.96, 328,749.80 and 142,775.31 is: 196,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,323.96 : 328,749.80 = 142,775.31 : x
  2. Step 2: Convert to fraction form
    238,323.96/328,749.80 = 142,775.31/x
  3. Step 3: Cross multiply
    238,323.96x = 328,749.80 × 142,775.31
  4. Step 4: Simplify right side
    238,323.96x = 46,937,353,893.56
  5. Step 5: Solve for x
    x = 46,937,353,893.56/238,323.96
  6. Step 6: Final answer
    x = 196,947.69

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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.