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Finding the Fourth Proportional to 121,978.80, 182,968.20 and 102,295.80

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Solution

The fourth proportional to 121,978.80, 182,968.20 and 102,295.80 is: 153,443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,978.80 : 182,968.20 = 102,295.80 : x
  2. Step 2: Convert to fraction form
    121,978.80/182,968.20 = 102,295.80/x
  3. Step 3: Cross multiply
    121,978.80x = 182,968.20 × 102,295.80
  4. Step 4: Simplify right side
    121,978.80x = 18,716,878,393.56
  5. Step 5: Solve for x
    x = 18,716,878,393.56/121,978.80
  6. Step 6: Final answer
    x = 153,443.70

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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.