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Finding the Fourth Proportional to 145,793.09, 218,708.16 and 57,035.21

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Solution

The fourth proportional to 145,793.09, 218,708.16 and 57,035.21 is: 85,560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,793.09 : 218,708.16 = 57,035.21 : x
  2. Step 2: Convert to fraction form
    145,793.09/218,708.16 = 57,035.21/x
  3. Step 3: Cross multiply
    145,793.09x = 218,708.16 × 57,035.21
  4. Step 4: Simplify right side
    145,793.09x = 12,474,065,834.31
  5. Step 5: Solve for x
    x = 12,474,065,834.31/145,793.09
  6. Step 6: Final answer
    x = 85,560.06

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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.