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Finding the Fourth Proportional to 208,297.90, 312,259.74 and 75,146.86

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Solution

The fourth proportional to 208,297.90, 312,259.74 and 75,146.86 is: 112,652.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,297.90 : 312,259.74 = 75,146.86 : x
  2. Step 2: Convert to fraction form
    208,297.90/312,259.74 = 75,146.86/x
  3. Step 3: Cross multiply
    208,297.90x = 312,259.74 × 75,146.86
  4. Step 4: Simplify right side
    208,297.90x = 23,465,338,965.42
  5. Step 5: Solve for x
    x = 23,465,338,965.42/208,297.90
  6. Step 6: Final answer
    x = 112,652.79

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1.5x scale

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.