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Finding the Fourth Proportional to 137,745.19, 190,073.76 and 77,322.49

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Solution

The fourth proportional to 137,745.19, 190,073.76 and 77,322.49 is: 106,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,745.19 : 190,073.76 = 77,322.49 : x
  2. Step 2: Convert to fraction form
    137,745.19/190,073.76 = 77,322.49/x
  3. Step 3: Cross multiply
    137,745.19x = 190,073.76 × 77,322.49
  4. Step 4: Simplify right side
    137,745.19x = 14,696,976,406.86
  5. Step 5: Solve for x
    x = 14,696,976,406.86/137,745.19
  6. Step 6: Final answer
    x = 106,696.84

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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.