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Finding the Fourth Proportional to 180,648.70, 249,310.52 and 100,101.49

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Solution

The fourth proportional to 180,648.70, 249,310.52 and 100,101.49 is: 138,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,648.70 : 249,310.52 = 100,101.49 : x
  2. Step 2: Convert to fraction form
    180,648.70/249,310.52 = 100,101.49/x
  3. Step 3: Cross multiply
    180,648.70x = 249,310.52 × 100,101.49
  4. Step 4: Simplify right side
    180,648.70x = 24,956,354,524.67
  5. Step 5: Solve for x
    x = 24,956,354,524.67/180,648.70
  6. Step 6: Final answer
    x = 138,148.54

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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.