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Finding the Fourth Proportional to 107,802.40, 161,696.04 and 40,321.60

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Solution

The fourth proportional to 107,802.40, 161,696.04 and 40,321.60 is: 60,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,802.40 : 161,696.04 = 40,321.60 : x
  2. Step 2: Convert to fraction form
    107,802.40/161,696.04 = 40,321.60/x
  3. Step 3: Cross multiply
    107,802.40x = 161,696.04 × 40,321.60
  4. Step 4: Simplify right side
    107,802.40x = 6,519,843,046.46
  5. Step 5: Solve for x
    x = 6,519,843,046.46/107,802.40
  6. Step 6: Final answer
    x = 60,479.57

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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.