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Finding the Fourth Proportional to 219,490, 302,909.16 and 123,994.24

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Solution

The fourth proportional to 219,490, 302,909.16 and 123,994.24 is: 171,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,490 : 302,909.16 = 123,994.24 : x
  2. Step 2: Convert to fraction form
    219,490/302,909.16 = 123,994.24/x
  3. Step 3: Cross multiply
    219,490x = 302,909.16 × 123,994.24
  4. Step 4: Simplify right side
    219,490x = 37,558,991,083.24
  5. Step 5: Solve for x
    x = 37,558,991,083.24/219,490
  6. Step 6: Final answer
    x = 171,119.37

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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.