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Finding the Fourth Proportional to 137,786.32, 190,148.61 and 77,361.67

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Solution

The fourth proportional to 137,786.32, 190,148.61 and 77,361.67 is: 106,761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,786.32 : 190,148.61 = 77,361.67 : x
  2. Step 2: Convert to fraction form
    137,786.32/190,148.61 = 77,361.67/x
  3. Step 3: Cross multiply
    137,786.32x = 190,148.61 × 77,361.67
  4. Step 4: Simplify right side
    137,786.32x = 14,710,214,017.78
  5. Step 5: Solve for x
    x = 14,710,214,017.78/137,786.32
  6. Step 6: Final answer
    x = 106,761.06

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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.