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Finding the Fourth Proportional to 145,343.97, 217,827.32 and 65,322.81

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Solution

The fourth proportional to 145,343.97, 217,827.32 and 65,322.81 is: 97,899.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,343.97 : 217,827.32 = 65,322.81 : x
  2. Step 2: Convert to fraction form
    145,343.97/217,827.32 = 65,322.81/x
  3. Step 3: Cross multiply
    145,343.97x = 217,827.32 × 65,322.81
  4. Step 4: Simplify right side
    145,343.97x = 14,229,092,310.56
  5. Step 5: Solve for x
    x = 14,229,092,310.56/145,343.97
  6. Step 6: Final answer
    x = 97,899.43

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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.