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Finding the Fourth Proportional to 109,302.51, 163,811.74 and 49,286.91

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Solution

The fourth proportional to 109,302.51, 163,811.74 and 49,286.91 is: 73,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,302.51 : 163,811.74 = 49,286.91 : x
  2. Step 2: Convert to fraction form
    109,302.51/163,811.74 = 49,286.91/x
  3. Step 3: Cross multiply
    109,302.51x = 163,811.74 × 49,286.91
  4. Step 4: Simplify right side
    109,302.51x = 8,073,774,486.32
  5. Step 5: Solve for x
    x = 8,073,774,486.32/109,302.51
  6. Step 6: Final answer
    x = 73,866.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.