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Finding the Fourth Proportional to 215,064.86, 322,576.43 and 65,306.45

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Solution

The fourth proportional to 215,064.86, 322,576.43 and 65,306.45 is: 97,953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,064.86 : 322,576.43 = 65,306.45 : x
  2. Step 2: Convert to fraction form
    215,064.86/322,576.43 = 65,306.45/x
  3. Step 3: Cross multiply
    215,064.86x = 322,576.43 × 65,306.45
  4. Step 4: Simplify right side
    215,064.86x = 21,066,319,884.09
  5. Step 5: Solve for x
    x = 21,066,319,884.09/215,064.86
  6. Step 6: Final answer
    x = 97,953.33

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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.