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Finding the Fourth Proportional to 109,506.94, 164,260.41 and 42,978.40

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Solution

The fourth proportional to 109,506.94, 164,260.41 and 42,978.40 is: 64,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,506.94 : 164,260.41 = 42,978.40 : x
  2. Step 2: Convert to fraction form
    109,506.94/164,260.41 = 42,978.40/x
  3. Step 3: Cross multiply
    109,506.94x = 164,260.41 × 42,978.40
  4. Step 4: Simplify right side
    109,506.94x = 7,059,649,605.14
  5. Step 5: Solve for x
    x = 7,059,649,605.14/109,506.94
  6. Step 6: Final answer
    x = 64,467.60

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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.