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Finding the Fourth Proportional to 74,608.48, 102,967.14 and 55,712.80

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Solution

The fourth proportional to 74,608.48, 102,967.14 and 55,712.80 is: 76,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,608.48 : 102,967.14 = 55,712.80 : x
  2. Step 2: Convert to fraction form
    74,608.48/102,967.14 = 55,712.80/x
  3. Step 3: Cross multiply
    74,608.48x = 102,967.14 × 55,712.80
  4. Step 4: Simplify right side
    74,608.48x = 5,736,587,677.39
  5. Step 5: Solve for x
    x = 5,736,587,677.39/74,608.48
  6. Step 6: Final answer
    x = 76,889.22

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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.