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Finding the Fourth Proportional to 230,975.80, 346,391.70 and 90,777.40

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Solution

The fourth proportional to 230,975.80, 346,391.70 and 90,777.40 is: 136,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,975.80 : 346,391.70 = 90,777.40 : x
  2. Step 2: Convert to fraction form
    230,975.80/346,391.70 = 90,777.40/x
  3. Step 3: Cross multiply
    230,975.80x = 346,391.70 × 90,777.40
  4. Step 4: Simplify right side
    230,975.80x = 31,444,537,907.58
  5. Step 5: Solve for x
    x = 31,444,537,907.58/230,975.80
  6. Step 6: Final answer
    x = 136,137.80

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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.