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Finding the Fourth Proportional to 145,874.20, 218,811.30 and 96,021.40

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Solution

The fourth proportional to 145,874.20, 218,811.30 and 96,021.40 is: 144,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,874.20 : 218,811.30 = 96,021.40 : x
  2. Step 2: Convert to fraction form
    145,874.20/218,811.30 = 96,021.40/x
  3. Step 3: Cross multiply
    145,874.20x = 218,811.30 × 96,021.40
  4. Step 4: Simplify right side
    145,874.20x = 21,010,567,361.82
  5. Step 5: Solve for x
    x = 21,010,567,361.82/145,874.20
  6. Step 6: Final answer
    x = 144,032.10

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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.