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Finding the Fourth Proportional to 202,807.20, 279,830.16 and 117,880.80

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Solution

The fourth proportional to 202,807.20, 279,830.16 and 117,880.80 is: 162,650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,807.20 : 279,830.16 = 117,880.80 : x
  2. Step 2: Convert to fraction form
    202,807.20/279,830.16 = 117,880.80/x
  3. Step 3: Cross multiply
    202,807.20x = 279,830.16 × 117,880.80
  4. Step 4: Simplify right side
    202,807.20x = 32,986,603,124.93
  5. Step 5: Solve for x
    x = 32,986,603,124.93/202,807.20
  6. Step 6: Final answer
    x = 162,650.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.