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Finding the Fourth Proportional to 40,478.83, 60,705.87 and 19,408

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Solution

The fourth proportional to 40,478.83, 60,705.87 and 19,408 is: 29,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,478.83 : 60,705.87 = 19,408 : x
  2. Step 2: Convert to fraction form
    40,478.83/60,705.87 = 19,408/x
  3. Step 3: Cross multiply
    40,478.83x = 60,705.87 × 19,408
  4. Step 4: Simplify right side
    40,478.83x = 1,178,179,524.96
  5. Step 5: Solve for x
    x = 1,178,179,524.96/40,478.83
  6. Step 6: Final answer
    x = 29,106.07

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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.