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Finding the Fourth Proportional to 149,652.76, 206,522 and 81,670.28

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Solution

The fourth proportional to 149,652.76, 206,522 and 81,670.28 is: 112,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,652.76 : 206,522 = 81,670.28 : x
  2. Step 2: Convert to fraction form
    149,652.76/206,522 = 81,670.28/x
  3. Step 3: Cross multiply
    149,652.76x = 206,522 × 81,670.28
  4. Step 4: Simplify right side
    149,652.76x = 16,866,709,566.16
  5. Step 5: Solve for x
    x = 16,866,709,566.16/149,652.76
  6. Step 6: Final answer
    x = 112,705.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.