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Finding the Fourth Proportional to 256,013.52, 353,315.64 and 142,838.68

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Solution

The fourth proportional to 256,013.52, 353,315.64 and 142,838.68 is: 197,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,013.52 : 353,315.64 = 142,838.68 : x
  2. Step 2: Convert to fraction form
    256,013.52/353,315.64 = 142,838.68/x
  3. Step 3: Cross multiply
    256,013.52x = 353,315.64 × 142,838.68
  4. Step 4: Simplify right side
    256,013.52x = 50,467,139,640.96
  5. Step 5: Solve for x
    x = 50,467,139,640.96/256,013.52
  6. Step 6: Final answer
    x = 197,126.85

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1.5x scale

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.