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Finding the Fourth Proportional to 65,172.35, 97,762.98 and 20,802.47

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Solution

The fourth proportional to 65,172.35, 97,762.98 and 20,802.47 is: 31,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,172.35 : 97,762.98 = 20,802.47 : x
  2. Step 2: Convert to fraction form
    65,172.35/97,762.98 = 20,802.47/x
  3. Step 3: Cross multiply
    65,172.35x = 97,762.98 × 20,802.47
  4. Step 4: Simplify right side
    65,172.35x = 2,033,710,969.75
  5. Step 5: Solve for x
    x = 2,033,710,969.75/65,172.35
  6. Step 6: Final answer
    x = 31,205.12

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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.