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Finding the Fourth Proportional to 137,886.02, 190,289.52 and 77,453.54

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Solution

The fourth proportional to 137,886.02, 190,289.52 and 77,453.54 is: 106,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,886.02 : 190,289.52 = 77,453.54 : x
  2. Step 2: Convert to fraction form
    137,886.02/190,289.52 = 77,453.54/x
  3. Step 3: Cross multiply
    137,886.02x = 190,289.52 × 77,453.54
  4. Step 4: Simplify right side
    137,886.02x = 14,738,595,610.19
  5. Step 5: Solve for x
    x = 14,738,595,610.19/137,886.02
  6. Step 6: Final answer
    x = 106,889.71

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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.