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Finding the Fourth Proportional to 52,104.96, 78,172.02 and 20,962.08

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Solution

The fourth proportional to 52,104.96, 78,172.02 and 20,962.08 is: 31,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,104.96 : 78,172.02 = 20,962.08 : x
  2. Step 2: Convert to fraction form
    52,104.96/78,172.02 = 20,962.08/x
  3. Step 3: Cross multiply
    52,104.96x = 78,172.02 × 20,962.08
  4. Step 4: Simplify right side
    52,104.96x = 1,638,648,137.00
  5. Step 5: Solve for x
    x = 1,638,648,137.00/52,104.96
  6. Step 6: Final answer
    x = 31,448.99

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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.