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Finding the Fourth Proportional to 219,236.16, 302,559.52 and 123,708

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Solution

The fourth proportional to 219,236.16, 302,559.52 and 123,708 is: 170,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,236.16 : 302,559.52 = 123,708 : x
  2. Step 2: Convert to fraction form
    219,236.16/302,559.52 = 123,708/x
  3. Step 3: Cross multiply
    219,236.16x = 302,559.52 × 123,708
  4. Step 4: Simplify right side
    219,236.16x = 37,429,033,100.16
  5. Step 5: Solve for x
    x = 37,429,033,100.16/219,236.16
  6. Step 6: Final answer
    x = 170,724.72

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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.