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Finding the Fourth Proportional to 255,897.84, 353,139.64 and 142,727.92

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Solution

The fourth proportional to 255,897.84, 353,139.64 and 142,727.92 is: 196,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,897.84 : 353,139.64 = 142,727.92 : x
  2. Step 2: Convert to fraction form
    255,897.84/353,139.64 = 142,727.92/x
  3. Step 3: Cross multiply
    255,897.84x = 353,139.64 × 142,727.92
  4. Step 4: Simplify right side
    255,897.84x = 50,402,886,286.75
  5. Step 5: Solve for x
    x = 50,402,886,286.75/255,897.84
  6. Step 6: Final answer
    x = 196,964.88

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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.