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Finding the Fourth Proportional to 102,003.70, 153,005.55 and 99,930.10

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Solution

The fourth proportional to 102,003.70, 153,005.55 and 99,930.10 is: 149,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003.70 : 153,005.55 = 99,930.10 : x
  2. Step 2: Convert to fraction form
    102,003.70/153,005.55 = 99,930.10/x
  3. Step 3: Cross multiply
    102,003.70x = 153,005.55 × 99,930.10
  4. Step 4: Simplify right side
    102,003.70x = 15,289,859,912.06
  5. Step 5: Solve for x
    x = 15,289,859,912.06/102,003.70
  6. Step 6: Final answer
    x = 149,895.15

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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.