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Finding the Fourth Proportional to 64,855.86, 89,494.53 and 47,869.38

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Solution

The fourth proportional to 64,855.86, 89,494.53 and 47,869.38 is: 66,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,855.86 : 89,494.53 = 47,869.38 : x
  2. Step 2: Convert to fraction form
    64,855.86/89,494.53 = 47,869.38/x
  3. Step 3: Cross multiply
    64,855.86x = 89,494.53 × 47,869.38
  4. Step 4: Simplify right side
    64,855.86x = 4,284,047,664.49
  5. Step 5: Solve for x
    x = 4,284,047,664.49/64,855.86
  6. Step 6: Final answer
    x = 66,054.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.