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Finding the Fourth Proportional to 219,538.32, 302,963.19 and 118,936.32

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Solution

The fourth proportional to 219,538.32, 302,963.19 and 118,936.32 is: 164,132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,538.32 : 302,963.19 = 118,936.32 : x
  2. Step 2: Convert to fraction form
    219,538.32/302,963.19 = 118,936.32/x
  3. Step 3: Cross multiply
    219,538.32x = 302,963.19 × 118,936.32
  4. Step 4: Simplify right side
    219,538.32x = 36,033,326,914.06
  5. Step 5: Solve for x
    x = 36,033,326,914.06/219,538.32
  6. Step 6: Final answer
    x = 164,132.29

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1.5x scale

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.