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Finding the Fourth Proportional to 154,758, 213,566.04 and 84,102

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Solution

The fourth proportional to 154,758, 213,566.04 and 84,102 is: 116,060.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,758 : 213,566.04 = 84,102 : x
  2. Step 2: Convert to fraction form
    154,758/213,566.04 = 84,102/x
  3. Step 3: Cross multiply
    154,758x = 213,566.04 × 84,102
  4. Step 4: Simplify right side
    154,758x = 17,961,331,096.08
  5. Step 5: Solve for x
    x = 17,961,331,096.08/154,758
  6. Step 6: Final answer
    x = 116,060.76

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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.