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Finding the Fourth Proportional to 144,071.82, 198,830.40 and 80,419.20

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Solution

The fourth proportional to 144,071.82, 198,830.40 and 80,419.20 is: 110,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,071.82 : 198,830.40 = 80,419.20 : x
  2. Step 2: Convert to fraction form
    144,071.82/198,830.40 = 80,419.20/x
  3. Step 3: Cross multiply
    144,071.82x = 198,830.40 × 80,419.20
  4. Step 4: Simplify right side
    144,071.82x = 15,989,781,703.68
  5. Step 5: Solve for x
    x = 15,989,781,703.68/144,071.82
  6. Step 6: Final answer
    x = 110,984.80

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1.5x scale

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.