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Finding the Fourth Proportional to 256,772.64, 385,159.20 and 69,811.68

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Solution

The fourth proportional to 256,772.64, 385,159.20 and 69,811.68 is: 104,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,772.64 : 385,159.20 = 69,811.68 : x
  2. Step 2: Convert to fraction form
    256,772.64/385,159.20 = 69,811.68/x
  3. Step 3: Cross multiply
    256,772.64x = 385,159.20 × 69,811.68
  4. Step 4: Simplify right side
    256,772.64x = 26,888,610,819.46
  5. Step 5: Solve for x
    x = 26,888,610,819.46/256,772.64
  6. Step 6: Final answer
    x = 104,717.59

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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.