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Finding the Fourth Proportional to 219,455.18, 302,978.66 and 138,951.71

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Solution

The fourth proportional to 219,455.18, 302,978.66 and 138,951.71 is: 191,835.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,455.18 : 302,978.66 = 138,951.71 : x
  2. Step 2: Convert to fraction form
    219,455.18/302,978.66 = 138,951.71/x
  3. Step 3: Cross multiply
    219,455.18x = 302,978.66 × 138,951.71
  4. Step 4: Simplify right side
    219,455.18x = 42,099,400,690.86
  5. Step 5: Solve for x
    x = 42,099,400,690.86/219,455.18
  6. Step 6: Final answer
    x = 191,835.99

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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.