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Finding the Fourth Proportional to 102,605.32, 154,154.58 and 96,940.72

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Solution

The fourth proportional to 102,605.32, 154,154.58 and 96,940.72 is: 145,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,605.32 : 154,154.58 = 96,940.72 : x
  2. Step 2: Convert to fraction form
    102,605.32/154,154.58 = 96,940.72/x
  3. Step 3: Cross multiply
    102,605.32x = 154,154.58 × 96,940.72
  4. Step 4: Simplify right side
    102,605.32x = 14,943,855,976.50
  5. Step 5: Solve for x
    x = 14,943,855,976.50/102,605.32
  6. Step 6: Final answer
    x = 145,644.07

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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.