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Finding the Fourth Proportional to 147,931, 221,896.50 and 49,435

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Solution

The fourth proportional to 147,931, 221,896.50 and 49,435 is: 74,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,931 : 221,896.50 = 49,435 : x
  2. Step 2: Convert to fraction form
    147,931/221,896.50 = 49,435/x
  3. Step 3: Cross multiply
    147,931x = 221,896.50 × 49,435
  4. Step 4: Simplify right side
    147,931x = 10,969,453,477.50
  5. Step 5: Solve for x
    x = 10,969,453,477.50/147,931
  6. Step 6: Final answer
    x = 74,152.50

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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.