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Finding the Fourth Proportional to 65,172.33, 97,762.93 and 20,802.42

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Solution

The fourth proportional to 65,172.33, 97,762.93 and 20,802.42 is: 31,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,172.33 : 97,762.93 = 20,802.42 : x
  2. Step 2: Convert to fraction form
    65,172.33/97,762.93 = 20,802.42/x
  3. Step 3: Cross multiply
    65,172.33x = 97,762.93 × 20,802.42
  4. Step 4: Simplify right side
    65,172.33x = 2,033,705,478.28
  5. Step 5: Solve for x
    x = 2,033,705,478.28/65,172.33
  6. Step 6: Final answer
    x = 31,205.04

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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.