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Finding the Fourth Proportional to 97,776.65, 146,416.89 and 81,940.04

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Solution

The fourth proportional to 97,776.65, 146,416.89 and 81,940.04 is: 122,702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,776.65 : 146,416.89 = 81,940.04 : x
  2. Step 2: Convert to fraction form
    97,776.65/146,416.89 = 81,940.04/x
  3. Step 3: Cross multiply
    97,776.65x = 146,416.89 × 81,940.04
  4. Step 4: Simplify right side
    97,776.65x = 11,997,405,091.19
  5. Step 5: Solve for x
    x = 11,997,405,091.19/97,776.65
  6. Step 6: Final answer
    x = 122,702.16

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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.