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Finding the Fourth Proportional to 64,343.82, 96,409.02 and 45,530.64

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Solution

The fourth proportional to 64,343.82, 96,409.02 and 45,530.64 is: 68,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,343.82 : 96,409.02 = 45,530.64 : x
  2. Step 2: Convert to fraction form
    64,343.82/96,409.02 = 45,530.64/x
  3. Step 3: Cross multiply
    64,343.82x = 96,409.02 × 45,530.64
  4. Step 4: Simplify right side
    64,343.82x = 4,389,564,382.37
  5. Step 5: Solve for x
    x = 4,389,564,382.37/64,343.82
  6. Step 6: Final answer
    x = 68,220.45

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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.