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Finding the Fourth Proportional to 64,646.52, 89,211.42 and 36,357

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Solution

The fourth proportional to 64,646.52, 89,211.42 and 36,357 is: 50,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,646.52 : 89,211.42 = 36,357 : x
  2. Step 2: Convert to fraction form
    64,646.52/89,211.42 = 36,357/x
  3. Step 3: Cross multiply
    64,646.52x = 89,211.42 × 36,357
  4. Step 4: Simplify right side
    64,646.52x = 3,243,459,596.94
  5. Step 5: Solve for x
    x = 3,243,459,596.94/64,646.52
  6. Step 6: Final answer
    x = 50,172.22

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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.