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Finding the Fourth Proportional to 235,760.70, 353,726.31 and 145,698

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Solution

The fourth proportional to 235,760.70, 353,726.31 and 145,698 is: 218,599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,760.70 : 353,726.31 = 145,698 : x
  2. Step 2: Convert to fraction form
    235,760.70/353,726.31 = 145,698/x
  3. Step 3: Cross multiply
    235,760.70x = 353,726.31 × 145,698
  4. Step 4: Simplify right side
    235,760.70x = 51,537,215,914.38
  5. Step 5: Solve for x
    x = 51,537,215,914.38/235,760.70
  6. Step 6: Final answer
    x = 218,599.69

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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.