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Finding the Fourth Proportional to 78,880, 118,323.84 and 23,476.48

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Solution

The fourth proportional to 78,880, 118,323.84 and 23,476.48 is: 35,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,880 : 118,323.84 = 23,476.48 : x
  2. Step 2: Convert to fraction form
    78,880/118,323.84 = 23,476.48/x
  3. Step 3: Cross multiply
    78,880x = 118,323.84 × 23,476.48
  4. Step 4: Simplify right side
    78,880x = 2,777,827,263.28
  5. Step 5: Solve for x
    x = 2,777,827,263.28/78,880
  6. Step 6: Final answer
    x = 35,215.86

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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.