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Finding the Fourth Proportional to 255,838.78, 353,063.16 and 141,120.91

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Solution

The fourth proportional to 255,838.78, 353,063.16 and 141,120.91 is: 194,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,838.78 : 353,063.16 = 141,120.91 : x
  2. Step 2: Convert to fraction form
    255,838.78/353,063.16 = 141,120.91/x
  3. Step 3: Cross multiply
    255,838.78x = 353,063.16 × 141,120.91
  4. Step 4: Simplify right side
    255,838.78x = 49,824,594,426.68
  5. Step 5: Solve for x
    x = 49,824,594,426.68/255,838.78
  6. Step 6: Final answer
    x = 194,749.97

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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.