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Finding the Fourth Proportional to 144,023.81, 198,733.10 and 80,349.30

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Solution

The fourth proportional to 144,023.81, 198,733.10 and 80,349.30 is: 110,871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,023.81 : 198,733.10 = 80,349.30 : x
  2. Step 2: Convert to fraction form
    144,023.81/198,733.10 = 80,349.30/x
  3. Step 3: Cross multiply
    144,023.81x = 198,733.10 × 80,349.30
  4. Step 4: Simplify right side
    144,023.81x = 15,968,065,070.08
  5. Step 5: Solve for x
    x = 15,968,065,070.08/144,023.81
  6. Step 6: Final answer
    x = 110,871.01

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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.