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Finding the Fourth Proportional to 219,351.12, 302,706 and 118,749.12

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Solution

The fourth proportional to 219,351.12, 302,706 and 118,749.12 is: 163,874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,351.12 : 302,706 = 118,749.12 : x
  2. Step 2: Convert to fraction form
    219,351.12/302,706 = 118,749.12/x
  3. Step 3: Cross multiply
    219,351.12x = 302,706 × 118,749.12
  4. Step 4: Simplify right side
    219,351.12x = 35,946,071,118.72
  5. Step 5: Solve for x
    x = 35,946,071,118.72/219,351.12
  6. Step 6: Final answer
    x = 163,874.57

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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.