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Finding the Fourth Proportional to 81,804.80, 122,642.40 and 35,019.20

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Solution

The fourth proportional to 81,804.80, 122,642.40 and 35,019.20 is: 52,501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,804.80 : 122,642.40 = 35,019.20 : x
  2. Step 2: Convert to fraction form
    81,804.80/122,642.40 = 35,019.20/x
  3. Step 3: Cross multiply
    81,804.80x = 122,642.40 × 35,019.20
  4. Step 4: Simplify right side
    81,804.80x = 4,294,838,734.08
  5. Step 5: Solve for x
    x = 4,294,838,734.08/81,804.80
  6. Step 6: Final answer
    x = 52,501.06

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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.