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Finding the Fourth Proportional to 208,142.90, 312,338.90 and 89,814.24

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Solution

The fourth proportional to 208,142.90, 312,338.90 and 89,814.24 is: 134,775.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,142.90 : 312,338.90 = 89,814.24 : x
  2. Step 2: Convert to fraction form
    208,142.90/312,338.90 = 89,814.24/x
  3. Step 3: Cross multiply
    208,142.90x = 312,338.90 × 89,814.24
  4. Step 4: Simplify right side
    208,142.90x = 28,052,480,476.86
  5. Step 5: Solve for x
    x = 28,052,480,476.86/208,142.90
  6. Step 6: Final answer
    x = 134,775.10

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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.