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Finding the Fourth Proportional to 109,295.80, 163,943.70 and 99,446.20

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Solution

The fourth proportional to 109,295.80, 163,943.70 and 99,446.20 is: 149,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,295.80 : 163,943.70 = 99,446.20 : x
  2. Step 2: Convert to fraction form
    109,295.80/163,943.70 = 99,446.20/x
  3. Step 3: Cross multiply
    109,295.80x = 163,943.70 × 99,446.20
  4. Step 4: Simplify right side
    109,295.80x = 16,303,577,978.94
  5. Step 5: Solve for x
    x = 16,303,577,978.94/109,295.80
  6. Step 6: Final answer
    x = 149,169.30

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1.5x scale

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.