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Finding the Fourth Proportional to 256,709.61, 385,115.75 and 79,209.95

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Solution

The fourth proportional to 256,709.61, 385,115.75 and 79,209.95 is: 118,830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,709.61 : 385,115.75 = 79,209.95 : x
  2. Step 2: Convert to fraction form
    256,709.61/385,115.75 = 79,209.95/x
  3. Step 3: Cross multiply
    256,709.61x = 385,115.75 × 79,209.95
  4. Step 4: Simplify right side
    256,709.61x = 30,504,996,980.08
  5. Step 5: Solve for x
    x = 30,504,996,980.08/256,709.61
  6. Step 6: Final answer
    x = 118,830.76

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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.