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Finding the Fourth Proportional to 154,372, 213,033.36 and 83,716

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Solution

The fourth proportional to 154,372, 213,033.36 and 83,716 is: 115,528.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,372 : 213,033.36 = 83,716 : x
  2. Step 2: Convert to fraction form
    154,372/213,033.36 = 83,716/x
  3. Step 3: Cross multiply
    154,372x = 213,033.36 × 83,716
  4. Step 4: Simplify right side
    154,372x = 17,834,300,765.76
  5. Step 5: Solve for x
    x = 17,834,300,765.76/154,372
  6. Step 6: Final answer
    x = 115,528.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.