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Finding the Fourth Proportional to 219,455.24, 302,978.74 and 138,951.77

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Solution

The fourth proportional to 219,455.24, 302,978.74 and 138,951.77 is: 191,836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,455.24 : 302,978.74 = 138,951.77 : x
  2. Step 2: Convert to fraction form
    219,455.24/302,978.74 = 138,951.77/x
  3. Step 3: Cross multiply
    219,455.24x = 302,978.74 × 138,951.77
  4. Step 4: Simplify right side
    219,455.24x = 42,099,431,785.30
  5. Step 5: Solve for x
    x = 42,099,431,785.30/219,455.24
  6. Step 6: Final answer
    x = 191,836.08

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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.