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Finding the Fourth Proportional to 219,104.82, 302,373.81 and 138,503.34

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Solution

The fourth proportional to 219,104.82, 302,373.81 and 138,503.34 is: 191,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,104.82 : 302,373.81 = 138,503.34 : x
  2. Step 2: Convert to fraction form
    219,104.82/302,373.81 = 138,503.34/x
  3. Step 3: Cross multiply
    219,104.82x = 302,373.81 × 138,503.34
  4. Step 4: Simplify right side
    219,104.82x = 41,879,782,613.53
  5. Step 5: Solve for x
    x = 41,879,782,613.53/219,104.82
  6. Step 6: Final answer
    x = 191,140.40

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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.