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Finding the Fourth Proportional to 207,830.10, 311,745.15 and 148,538.10

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Solution

The fourth proportional to 207,830.10, 311,745.15 and 148,538.10 is: 222,807.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,830.10 : 311,745.15 = 148,538.10 : x
  2. Step 2: Convert to fraction form
    207,830.10/311,745.15 = 148,538.10/x
  3. Step 3: Cross multiply
    207,830.10x = 311,745.15 × 148,538.10
  4. Step 4: Simplify right side
    207,830.10x = 46,306,032,265.22
  5. Step 5: Solve for x
    x = 46,306,032,265.22/207,830.10
  6. Step 6: Final answer
    x = 222,807.15

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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.