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Finding the Fourth Proportional to 213,874.16, 295,139.70 and 123,230.30

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Solution

The fourth proportional to 213,874.16, 295,139.70 and 123,230.30 is: 170,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,874.16 : 295,139.70 = 123,230.30 : x
  2. Step 2: Convert to fraction form
    213,874.16/295,139.70 = 123,230.30/x
  3. Step 3: Cross multiply
    213,874.16x = 295,139.70 × 123,230.30
  4. Step 4: Simplify right side
    213,874.16x = 36,370,152,297.21
  5. Step 5: Solve for x
    x = 36,370,152,297.21/213,874.16
  6. Step 6: Final answer
    x = 170,053.98

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1.5x scale

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.