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Finding the Fourth Proportional to 154,857.30, 232,129.05 and 104,942.40

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Solution

The fourth proportional to 154,857.30, 232,129.05 and 104,942.40 is: 157,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,857.30 : 232,129.05 = 104,942.40 : x
  2. Step 2: Convert to fraction form
    154,857.30/232,129.05 = 104,942.40/x
  3. Step 3: Cross multiply
    154,857.30x = 232,129.05 × 104,942.40
  4. Step 4: Simplify right side
    154,857.30x = 24,360,179,616.72
  5. Step 5: Solve for x
    x = 24,360,179,616.72/154,857.30
  6. Step 6: Final answer
    x = 157,307.27

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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.