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Finding the Fourth Proportional to 149,128, 223,722.72 and 61,576

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Solution

The fourth proportional to 149,128, 223,722.72 and 61,576 is: 92,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,128 : 223,722.72 = 61,576 : x
  2. Step 2: Convert to fraction form
    149,128/223,722.72 = 61,576/x
  3. Step 3: Cross multiply
    149,128x = 223,722.72 × 61,576
  4. Step 4: Simplify right side
    149,128x = 13,775,950,206.72
  5. Step 5: Solve for x
    x = 13,775,950,206.72/149,128
  6. Step 6: Final answer
    x = 92,376.68

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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.