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Finding the Fourth Proportional to 219,376.96, 302,845.47 and 138,843.52

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Solution

The fourth proportional to 219,376.96, 302,845.47 and 138,843.52 is: 191,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,376.96 : 302,845.47 = 138,843.52 : x
  2. Step 2: Convert to fraction form
    219,376.96/302,845.47 = 138,843.52/x
  3. Step 3: Cross multiply
    219,376.96x = 302,845.47 × 138,843.52
  4. Step 4: Simplify right side
    219,376.96x = 42,048,130,376.64
  5. Step 5: Solve for x
    x = 42,048,130,376.64/219,376.96
  6. Step 6: Final answer
    x = 191,670.68

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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.