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Finding the Fourth Proportional to 219,142, 302,416.23 and 118,540

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Solution

The fourth proportional to 219,142, 302,416.23 and 118,540 is: 163,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,142 : 302,416.23 = 118,540 : x
  2. Step 2: Convert to fraction form
    219,142/302,416.23 = 118,540/x
  3. Step 3: Cross multiply
    219,142x = 302,416.23 × 118,540
  4. Step 4: Simplify right side
    219,142x = 35,848,419,904.20
  5. Step 5: Solve for x
    x = 35,848,419,904.20/219,142
  6. Step 6: Final answer
    x = 163,585.35

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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.