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Finding the Fourth Proportional to 145,405.40, 218,115.30 and 75,421.40

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Solution

The fourth proportional to 145,405.40, 218,115.30 and 75,421.40 is: 113,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,405.40 : 218,115.30 = 75,421.40 : x
  2. Step 2: Convert to fraction form
    145,405.40/218,115.30 = 75,421.40/x
  3. Step 3: Cross multiply
    145,405.40x = 218,115.30 × 75,421.40
  4. Step 4: Simplify right side
    145,405.40x = 16,450,561,287.42
  5. Step 5: Solve for x
    x = 16,450,561,287.42/145,405.40
  6. Step 6: Final answer
    x = 113,135.83

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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.