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Finding the Fourth Proportional to 78,211.69, 108,021.23 and 53,017.45

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Solution

The fourth proportional to 78,211.69, 108,021.23 and 53,017.45 is: 73,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,211.69 : 108,021.23 = 53,017.45 : x
  2. Step 2: Convert to fraction form
    78,211.69/108,021.23 = 53,017.45/x
  3. Step 3: Cross multiply
    78,211.69x = 108,021.23 × 53,017.45
  4. Step 4: Simplify right side
    78,211.69x = 5,727,009,824.14
  5. Step 5: Solve for x
    x = 5,727,009,824.14/78,211.69
  6. Step 6: Final answer
    x = 73,224.48

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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.