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Finding the Fourth Proportional to 106,978.30, 160,406.70 and 40,420.60

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Solution

The fourth proportional to 106,978.30, 160,406.70 and 40,420.60 is: 60,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,978.30 : 160,406.70 = 40,420.60 : x
  2. Step 2: Convert to fraction form
    106,978.30/160,406.70 = 40,420.60/x
  3. Step 3: Cross multiply
    106,978.30x = 160,406.70 × 40,420.60
  4. Step 4: Simplify right side
    106,978.30x = 6,483,735,058.02
  5. Step 5: Solve for x
    x = 6,483,735,058.02/106,978.30
  6. Step 6: Final answer
    x = 60,607.95

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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.