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Finding the Fourth Proportional to 78,960, 108,964.80 and 43,632

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Solution

The fourth proportional to 78,960, 108,964.80 and 43,632 is: 60,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,960 : 108,964.80 = 43,632 : x
  2. Step 2: Convert to fraction form
    78,960/108,964.80 = 43,632/x
  3. Step 3: Cross multiply
    78,960x = 108,964.80 × 43,632
  4. Step 4: Simplify right side
    78,960x = 4,754,352,153.60
  5. Step 5: Solve for x
    x = 4,754,352,153.60/78,960
  6. Step 6: Final answer
    x = 60,212.16

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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.