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Finding the Fourth Proportional to 74,880, 103,334.40 and 48,384

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Solution

The fourth proportional to 74,880, 103,334.40 and 48,384 is: 66,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,880 : 103,334.40 = 48,384 : x
  2. Step 2: Convert to fraction form
    74,880/103,334.40 = 48,384/x
  3. Step 3: Cross multiply
    74,880x = 103,334.40 × 48,384
  4. Step 4: Simplify right side
    74,880x = 4,999,731,609.60
  5. Step 5: Solve for x
    x = 4,999,731,609.60/74,880
  6. Step 6: Final answer
    x = 66,769.92

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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.