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Finding the Fourth Proportional to 235,761.70, 353,727.81 and 145,699

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Solution

The fourth proportional to 235,761.70, 353,727.81 and 145,699 is: 218,601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,761.70 : 353,727.81 = 145,699 : x
  2. Step 2: Convert to fraction form
    235,761.70/353,727.81 = 145,699/x
  3. Step 3: Cross multiply
    235,761.70x = 353,727.81 × 145,699
  4. Step 4: Simplify right side
    235,761.70x = 51,537,788,189.19
  5. Step 5: Solve for x
    x = 51,537,788,189.19/235,761.70
  6. Step 6: Final answer
    x = 218,601.19

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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.