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Finding the Fourth Proportional to 70,435.44, 105,671.52 and 20,514.40

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Solution

The fourth proportional to 70,435.44, 105,671.52 and 20,514.40 is: 30,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,435.44 : 105,671.52 = 20,514.40 : x
  2. Step 2: Convert to fraction form
    70,435.44/105,671.52 = 20,514.40/x
  3. Step 3: Cross multiply
    70,435.44x = 105,671.52 × 20,514.40
  4. Step 4: Simplify right side
    70,435.44x = 2,167,787,829.89
  5. Step 5: Solve for x
    x = 2,167,787,829.89/70,435.44
  6. Step 6: Final answer
    x = 30,776.95

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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.