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Finding the Fourth Proportional to 255,978, 353,249.64 and 142,800.72

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Solution

The fourth proportional to 255,978, 353,249.64 and 142,800.72 is: 197,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,978 : 353,249.64 = 142,800.72 : x
  2. Step 2: Convert to fraction form
    255,978/353,249.64 = 142,800.72/x
  3. Step 3: Cross multiply
    255,978x = 353,249.64 × 142,800.72
  4. Step 4: Simplify right side
    255,978x = 50,444,302,931.74
  5. Step 5: Solve for x
    x = 50,444,302,931.74/255,978
  6. Step 6: Final answer
    x = 197,064.99

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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.