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Finding the Fourth Proportional to 200,686.20, 301,029.30 and 52,942.20

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Solution

The fourth proportional to 200,686.20, 301,029.30 and 52,942.20 is: 79,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,686.20 : 301,029.30 = 52,942.20 : x
  2. Step 2: Convert to fraction form
    200,686.20/301,029.30 = 52,942.20/x
  3. Step 3: Cross multiply
    200,686.20x = 301,029.30 × 52,942.20
  4. Step 4: Simplify right side
    200,686.20x = 15,937,153,406.46
  5. Step 5: Solve for x
    x = 15,937,153,406.46/200,686.20
  6. Step 6: Final answer
    x = 79,413.30

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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.