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Finding the Fourth Proportional to 208,847.70, 313,271.55 and 120,374.10

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Solution

The fourth proportional to 208,847.70, 313,271.55 and 120,374.10 is: 180,561.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,847.70 : 313,271.55 = 120,374.10 : x
  2. Step 2: Convert to fraction form
    208,847.70/313,271.55 = 120,374.10/x
  3. Step 3: Cross multiply
    208,847.70x = 313,271.55 × 120,374.10
  4. Step 4: Simplify right side
    208,847.70x = 37,709,780,886.86
  5. Step 5: Solve for x
    x = 37,709,780,886.86/208,847.70
  6. Step 6: Final answer
    x = 180,561.15

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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.