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Finding the Fourth Proportional to 154,564.80, 231,847.20 and 75,638.40

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Solution

The fourth proportional to 154,564.80, 231,847.20 and 75,638.40 is: 113,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,564.80 : 231,847.20 = 75,638.40 : x
  2. Step 2: Convert to fraction form
    154,564.80/231,847.20 = 75,638.40/x
  3. Step 3: Cross multiply
    154,564.80x = 231,847.20 × 75,638.40
  4. Step 4: Simplify right side
    154,564.80x = 17,536,551,252.48
  5. Step 5: Solve for x
    x = 17,536,551,252.48/154,564.80
  6. Step 6: Final answer
    x = 113,457.60

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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.