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Finding the Fourth Proportional to 108,283.34, 162,315.97 and 45,138.42

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Solution

The fourth proportional to 108,283.34, 162,315.97 and 45,138.42 is: 67,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,283.34 : 162,315.97 = 45,138.42 : x
  2. Step 2: Convert to fraction form
    108,283.34/162,315.97 = 45,138.42/x
  3. Step 3: Cross multiply
    108,283.34x = 162,315.97 × 45,138.42
  4. Step 4: Simplify right side
    108,283.34x = 7,326,686,719.51
  5. Step 5: Solve for x
    x = 7,326,686,719.51/108,283.34
  6. Step 6: Final answer
    x = 67,662.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.