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Finding the Fourth Proportional to 64,929.94, 97,409.49 and 20,553.28

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Solution

The fourth proportional to 64,929.94, 97,409.49 and 20,553.28 is: 30,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,929.94 : 97,409.49 = 20,553.28 : x
  2. Step 2: Convert to fraction form
    64,929.94/97,409.49 = 20,553.28/x
  3. Step 3: Cross multiply
    64,929.94x = 97,409.49 × 20,553.28
  4. Step 4: Simplify right side
    64,929.94x = 2,002,084,522.63
  5. Step 5: Solve for x
    x = 2,002,084,522.63/64,929.94
  6. Step 6: Final answer
    x = 30,834.54

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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.