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Finding the Fourth Proportional to 109,969.80, 164,954.70 and 97,285.20

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Solution

The fourth proportional to 109,969.80, 164,954.70 and 97,285.20 is: 145,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,969.80 : 164,954.70 = 97,285.20 : x
  2. Step 2: Convert to fraction form
    109,969.80/164,954.70 = 97,285.20/x
  3. Step 3: Cross multiply
    109,969.80x = 164,954.70 × 97,285.20
  4. Step 4: Simplify right side
    109,969.80x = 16,047,650,980.44
  5. Step 5: Solve for x
    x = 16,047,650,980.44/109,969.80
  6. Step 6: Final answer
    x = 145,927.80

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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.