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Finding the Fourth Proportional to 102,080.10, 153,010.80 and 45,910.65

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Solution

The fourth proportional to 102,080.10, 153,010.80 and 45,910.65 is: 68,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,080.10 : 153,010.80 = 45,910.65 : x
  2. Step 2: Convert to fraction form
    102,080.10/153,010.80 = 45,910.65/x
  3. Step 3: Cross multiply
    102,080.10x = 153,010.80 × 45,910.65
  4. Step 4: Simplify right side
    102,080.10x = 7,024,825,285.02
  5. Step 5: Solve for x
    x = 7,024,825,285.02/102,080.10
  6. Step 6: Final answer
    x = 68,816.79

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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.