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Finding the Fourth Proportional to 102,379.78, 153,581.94 and 96,781.06

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Solution

The fourth proportional to 102,379.78, 153,581.94 and 96,781.06 is: 145,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,379.78 : 153,581.94 = 96,781.06 : x
  2. Step 2: Convert to fraction form
    102,379.78/153,581.94 = 96,781.06/x
  3. Step 3: Cross multiply
    102,379.78x = 153,581.94 × 96,781.06
  4. Step 4: Simplify right side
    102,379.78x = 14,863,822,950.06
  5. Step 5: Solve for x
    x = 14,863,822,950.06/102,379.78
  6. Step 6: Final answer
    x = 145,183.19

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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.