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Finding the Fourth Proportional to 256,071.71, 353,377.23 and 139,784.71

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Solution

The fourth proportional to 256,071.71, 353,377.23 and 139,784.71 is: 192,901.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,071.71 : 353,377.23 = 139,784.71 : x
  2. Step 2: Convert to fraction form
    256,071.71/353,377.23 = 139,784.71/x
  3. Step 3: Cross multiply
    256,071.71x = 353,377.23 × 139,784.71
  4. Step 4: Simplify right side
    256,071.71x = 49,396,733,657.39
  5. Step 5: Solve for x
    x = 49,396,733,657.39/256,071.71
  6. Step 6: Final answer
    x = 192,901.95

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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.