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Finding the Fourth Proportional to 62,128, 85,744.74 and 36,977.50

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Solution

The fourth proportional to 62,128, 85,744.74 and 36,977.50 is: 51,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,128 : 85,744.74 = 36,977.50 : x
  2. Step 2: Convert to fraction form
    62,128/85,744.74 = 36,977.50/x
  3. Step 3: Cross multiply
    62,128x = 85,744.74 × 36,977.50
  4. Step 4: Simplify right side
    62,128x = 3,170,626,123.35
  5. Step 5: Solve for x
    x = 3,170,626,123.35/62,128
  6. Step 6: Final answer
    x = 51,033.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.