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Finding the Fourth Proportional to 163,978.54, 245,967.86 and 126,593.19

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Solution

The fourth proportional to 163,978.54, 245,967.86 and 126,593.19 is: 189,889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,978.54 : 245,967.86 = 126,593.19 : x
  2. Step 2: Convert to fraction form
    163,978.54/245,967.86 = 126,593.19/x
  3. Step 3: Cross multiply
    163,978.54x = 245,967.86 × 126,593.19
  4. Step 4: Simplify right side
    163,978.54x = 31,137,854,172.07
  5. Step 5: Solve for x
    x = 31,137,854,172.07/163,978.54
  6. Step 6: Final answer
    x = 189,889.81

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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.