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Finding the Fourth Proportional to 109,055.70, 163,583.55 and 71,730.90

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Solution

The fourth proportional to 109,055.70, 163,583.55 and 71,730.90 is: 107,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,055.70 : 163,583.55 = 71,730.90 : x
  2. Step 2: Convert to fraction form
    109,055.70/163,583.55 = 71,730.90/x
  3. Step 3: Cross multiply
    109,055.70x = 163,583.55 × 71,730.90
  4. Step 4: Simplify right side
    109,055.70x = 11,733,995,266.70
  5. Step 5: Solve for x
    x = 11,733,995,266.70/109,055.70
  6. Step 6: Final answer
    x = 107,596.35

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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.