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Finding the Fourth Proportional to 81,803.40, 122,705.10 and 81,220.20

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Solution

The fourth proportional to 81,803.40, 122,705.10 and 81,220.20 is: 121,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,803.40 : 122,705.10 = 81,220.20 : x
  2. Step 2: Convert to fraction form
    81,803.40/122,705.10 = 81,220.20/x
  3. Step 3: Cross multiply
    81,803.40x = 122,705.10 × 81,220.20
  4. Step 4: Simplify right side
    81,803.40x = 9,966,132,763.02
  5. Step 5: Solve for x
    x = 9,966,132,763.02/81,803.40
  6. Step 6: Final answer
    x = 121,830.30

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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.