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Finding the Fourth Proportional to 106,809.93, 147,453.35 and 99,742.41

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Solution

The fourth proportional to 106,809.93, 147,453.35 and 99,742.41 is: 137,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,809.93 : 147,453.35 = 99,742.41 : x
  2. Step 2: Convert to fraction form
    106,809.93/147,453.35 = 99,742.41/x
  3. Step 3: Cross multiply
    106,809.93x = 147,453.35 × 99,742.41
  4. Step 4: Simplify right side
    106,809.93x = 14,707,351,992.86
  5. Step 5: Solve for x
    x = 14,707,351,992.86/106,809.93
  6. Step 6: Final answer
    x = 137,696.49

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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.