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Finding the Fourth Proportional to 219,574.31, 303,012.77 and 118,972.31

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Solution

The fourth proportional to 219,574.31, 303,012.77 and 118,972.31 is: 164,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,574.31 : 303,012.77 = 118,972.31 : x
  2. Step 2: Convert to fraction form
    219,574.31/303,012.77 = 118,972.31/x
  3. Step 3: Cross multiply
    219,574.31x = 303,012.77 × 118,972.31
  4. Step 4: Simplify right side
    219,574.31x = 36,050,129,369.07
  5. Step 5: Solve for x
    x = 36,050,129,369.07/219,574.31
  6. Step 6: Final answer
    x = 164,181.91

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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.