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Finding the Fourth Proportional to 219,477.69, 302,903.80 and 123,990.53

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Solution

The fourth proportional to 219,477.69, 302,903.80 and 123,990.53 is: 171,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,477.69 : 302,903.80 = 123,990.53 : x
  2. Step 2: Convert to fraction form
    219,477.69/302,903.80 = 123,990.53/x
  3. Step 3: Cross multiply
    219,477.69x = 302,903.80 × 123,990.53
  4. Step 4: Simplify right side
    219,477.69x = 37,557,203,148.30
  5. Step 5: Solve for x
    x = 37,557,203,148.30/219,477.69
  6. Step 6: Final answer
    x = 171,120.82

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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.