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Finding the Fourth Proportional to 121,415.80, 182,123.70 and 99,254.20

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Solution

The fourth proportional to 121,415.80, 182,123.70 and 99,254.20 is: 148,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,415.80 : 182,123.70 = 99,254.20 : x
  2. Step 2: Convert to fraction form
    121,415.80/182,123.70 = 99,254.20/x
  3. Step 3: Cross multiply
    121,415.80x = 182,123.70 × 99,254.20
  4. Step 4: Simplify right side
    121,415.80x = 18,076,542,144.54
  5. Step 5: Solve for x
    x = 18,076,542,144.54/121,415.80
  6. Step 6: Final answer
    x = 148,881.30

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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.