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Finding the Fourth Proportional to 72,315.32, 108,549.66 and 64,049

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Solution

The fourth proportional to 72,315.32, 108,549.66 and 64,049 is: 96,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,315.32 : 108,549.66 = 64,049 : x
  2. Step 2: Convert to fraction form
    72,315.32/108,549.66 = 64,049/x
  3. Step 3: Cross multiply
    72,315.32x = 108,549.66 × 64,049
  4. Step 4: Simplify right side
    72,315.32x = 6,952,497,173.34
  5. Step 5: Solve for x
    x = 6,952,497,173.34/72,315.32
  6. Step 6: Final answer
    x = 96,141.41

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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.