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Finding the Fourth Proportional to 68,573.94, 102,776.10 and 40,465.50

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Solution

The fourth proportional to 68,573.94, 102,776.10 and 40,465.50 is: 60,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,573.94 : 102,776.10 = 40,465.50 : x
  2. Step 2: Convert to fraction form
    68,573.94/102,776.10 = 40,465.50/x
  3. Step 3: Cross multiply
    68,573.94x = 102,776.10 × 40,465.50
  4. Step 4: Simplify right side
    68,573.94x = 4,158,886,274.55
  5. Step 5: Solve for x
    x = 4,158,886,274.55/68,573.94
  6. Step 6: Final answer
    x = 60,648.20

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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.