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Finding the Fourth Proportional to 130,815.38, 196,252.32 and 47,709.38

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Solution

The fourth proportional to 130,815.38, 196,252.32 and 47,709.38 is: 71,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,815.38 : 196,252.32 = 47,709.38 : x
  2. Step 2: Convert to fraction form
    130,815.38/196,252.32 = 47,709.38/x
  3. Step 3: Cross multiply
    130,815.38x = 196,252.32 × 47,709.38
  4. Step 4: Simplify right side
    130,815.38x = 9,363,075,529.50
  5. Step 5: Solve for x
    x = 9,363,075,529.50/130,815.38
  6. Step 6: Final answer
    x = 71,574.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.