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Finding the Fourth Proportional to 256,764.27, 385,068.65 and 69,751.47

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Solution

The fourth proportional to 256,764.27, 385,068.65 and 69,751.47 is: 104,606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,764.27 : 385,068.65 = 69,751.47 : x
  2. Step 2: Convert to fraction form
    256,764.27/385,068.65 = 69,751.47/x
  3. Step 3: Cross multiply
    256,764.27x = 385,068.65 × 69,751.47
  4. Step 4: Simplify right side
    256,764.27x = 26,859,104,039.66
  5. Step 5: Solve for x
    x = 26,859,104,039.66/256,764.27
  6. Step 6: Final answer
    x = 104,606.08

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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.