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Finding the Fourth Proportional to 215,316.23, 322,986.49 and 65,561.40

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Solution

The fourth proportional to 215,316.23, 322,986.49 and 65,561.40 is: 98,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,316.23 : 322,986.49 = 65,561.40 : x
  2. Step 2: Convert to fraction form
    215,316.23/322,986.49 = 65,561.40/x
  3. Step 3: Cross multiply
    215,316.23x = 322,986.49 × 65,561.40
  4. Step 4: Simplify right side
    215,316.23x = 21,175,446,301.58
  5. Step 5: Solve for x
    x = 21,175,446,301.58/215,316.23
  6. Step 6: Final answer
    x = 98,345.80

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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.