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Finding the Fourth Proportional to 239,489.64, 359,039.64 and 89,646

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Solution

The fourth proportional to 239,489.64, 359,039.64 and 89,646 is: 134,396.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,489.64 : 359,039.64 = 89,646 : x
  2. Step 2: Convert to fraction form
    239,489.64/359,039.64 = 89,646/x
  3. Step 3: Cross multiply
    239,489.64x = 359,039.64 × 89,646
  4. Step 4: Simplify right side
    239,489.64x = 32,186,467,567.44
  5. Step 5: Solve for x
    x = 32,186,467,567.44/239,489.64
  6. Step 6: Final answer
    x = 134,396.07

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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.