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Finding the Fourth Proportional to 205,362.12, 308,054.16 and 65,131.68

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Solution

The fourth proportional to 205,362.12, 308,054.16 and 65,131.68 is: 97,701.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,362.12 : 308,054.16 = 65,131.68 : x
  2. Step 2: Convert to fraction form
    205,362.12/308,054.16 = 65,131.68/x
  3. Step 3: Cross multiply
    205,362.12x = 308,054.16 × 65,131.68
  4. Step 4: Simplify right side
    205,362.12x = 20,064,084,971.79
  5. Step 5: Solve for x
    x = 20,064,084,971.79/205,362.12
  6. Step 6: Final answer
    x = 97,701.00

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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.