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Finding the Fourth Proportional to 144,008.48, 198,741.26 and 80,347.66

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Solution

The fourth proportional to 144,008.48, 198,741.26 and 80,347.66 is: 110,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,008.48 : 198,741.26 = 80,347.66 : x
  2. Step 2: Convert to fraction form
    144,008.48/198,741.26 = 80,347.66/x
  3. Step 3: Cross multiply
    144,008.48x = 198,741.26 × 80,347.66
  4. Step 4: Simplify right side
    144,008.48x = 15,968,395,186.45
  5. Step 5: Solve for x
    x = 15,968,395,186.45/144,008.48
  6. Step 6: Final answer
    x = 110,885.10

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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.