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Finding the Fourth Proportional to 200,050.50, 300,078.63 and 52,306.50

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Solution

The fourth proportional to 200,050.50, 300,078.63 and 52,306.50 is: 78,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,050.50 : 300,078.63 = 52,306.50 : x
  2. Step 2: Convert to fraction form
    200,050.50/300,078.63 = 52,306.50/x
  3. Step 3: Cross multiply
    200,050.50x = 300,078.63 × 52,306.50
  4. Step 4: Simplify right side
    200,050.50x = 15,696,062,860.10
  5. Step 5: Solve for x
    x = 15,696,062,860.10/200,050.50
  6. Step 6: Final answer
    x = 78,460.50

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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.