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Finding the Fourth Proportional to 235,740, 353,468.64 and 159,931.68

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Solution

The fourth proportional to 235,740, 353,468.64 and 159,931.68 is: 239,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,740 : 353,468.64 = 159,931.68 : x
  2. Step 2: Convert to fraction form
    235,740/353,468.64 = 159,931.68/x
  3. Step 3: Cross multiply
    235,740x = 353,468.64 × 159,931.68
  4. Step 4: Simplify right side
    235,740x = 56,530,833,422.52
  5. Step 5: Solve for x
    x = 56,530,833,422.52/235,740
  6. Step 6: Final answer
    x = 239,801.62

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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.