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Finding the Fourth Proportional to 219,182.94, 302,471.19 and 118,578.78

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Solution

The fourth proportional to 219,182.94, 302,471.19 and 118,578.78 is: 163,638.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,182.94 : 302,471.19 = 118,578.78 : x
  2. Step 2: Convert to fraction form
    219,182.94/302,471.19 = 118,578.78/x
  3. Step 3: Cross multiply
    219,182.94x = 302,471.19 × 118,578.78
  4. Step 4: Simplify right side
    219,182.94x = 35,866,664,695.35
  5. Step 5: Solve for x
    x = 35,866,664,695.35/219,182.94
  6. Step 6: Final answer
    x = 163,638.03

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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.