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Finding the Fourth Proportional to 81,202.60, 121,803.90 and 46,210.60

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Solution

The fourth proportional to 81,202.60, 121,803.90 and 46,210.60 is: 69,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,202.60 : 121,803.90 = 46,210.60 : x
  2. Step 2: Convert to fraction form
    81,202.60/121,803.90 = 46,210.60/x
  3. Step 3: Cross multiply
    81,202.60x = 121,803.90 × 46,210.60
  4. Step 4: Simplify right side
    81,202.60x = 5,628,631,301.34
  5. Step 5: Solve for x
    x = 5,628,631,301.34/81,202.60
  6. Step 6: Final answer
    x = 69,315.90

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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.