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Finding the Fourth Proportional to 131,569, 197,363.28 and 42,815.68

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Solution

The fourth proportional to 131,569, 197,363.28 and 42,815.68 is: 64,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,569 : 197,363.28 = 42,815.68 : x
  2. Step 2: Convert to fraction form
    131,569/197,363.28 = 42,815.68/x
  3. Step 3: Cross multiply
    131,569x = 197,363.28 × 42,815.68
  4. Step 4: Simplify right side
    131,569x = 8,450,243,040.23
  5. Step 5: Solve for x
    x = 8,450,243,040.23/131,569
  6. Step 6: Final answer
    x = 64,226.70

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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.