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Finding the Fourth Proportional to 154,485.88, 231,816.48 and 83,407.57

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Solution

The fourth proportional to 154,485.88, 231,816.48 and 83,407.57 is: 125,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,485.88 : 231,816.48 = 83,407.57 : x
  2. Step 2: Convert to fraction form
    154,485.88/231,816.48 = 83,407.57/x
  3. Step 3: Cross multiply
    154,485.88x = 231,816.48 × 83,407.57
  4. Step 4: Simplify right side
    154,485.88x = 19,335,249,282.75
  5. Step 5: Solve for x
    x = 19,335,249,282.75/154,485.88
  6. Step 6: Final answer
    x = 125,158.68

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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.