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Finding the Fourth Proportional to 258,336.68, 356,536.50 and 145,157

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Solution

The fourth proportional to 258,336.68, 356,536.50 and 145,157 is: 200,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,336.68 : 356,536.50 = 145,157 : x
  2. Step 2: Convert to fraction form
    258,336.68/356,536.50 = 145,157/x
  3. Step 3: Cross multiply
    258,336.68x = 356,536.50 × 145,157
  4. Step 4: Simplify right side
    258,336.68x = 51,753,768,730.50
  5. Step 5: Solve for x
    x = 51,753,768,730.50/258,336.68
  6. Step 6: Final answer
    x = 200,334.57

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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.