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Finding the Fourth Proportional to 154,002, 231,095.16 and 66,450

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Solution

The fourth proportional to 154,002, 231,095.16 and 66,450 is: 99,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,002 : 231,095.16 = 66,450 : x
  2. Step 2: Convert to fraction form
    154,002/231,095.16 = 66,450/x
  3. Step 3: Cross multiply
    154,002x = 231,095.16 × 66,450
  4. Step 4: Simplify right side
    154,002x = 15,356,273,382
  5. Step 5: Solve for x
    x = 15,356,273,382/154,002
  6. Step 6: Final answer
    x = 99,714.77

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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.