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Finding the Fourth Proportional to 34,968, 48,256.32 and 20,064

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Solution

The fourth proportional to 34,968, 48,256.32 and 20,064 is: 27,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,968 : 48,256.32 = 20,064 : x
  2. Step 2: Convert to fraction form
    34,968/48,256.32 = 20,064/x
  3. Step 3: Cross multiply
    34,968x = 48,256.32 × 20,064
  4. Step 4: Simplify right side
    34,968x = 968,214,804.48
  5. Step 5: Solve for x
    x = 968,214,804.48/34,968
  6. Step 6: Final answer
    x = 27,688.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.