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Finding the Fourth Proportional to 52,069, 78,127.30 and 28,341

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Solution

The fourth proportional to 52,069, 78,127.30 and 28,341 is: 42,524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,069 : 78,127.30 = 28,341 : x
  2. Step 2: Convert to fraction form
    52,069/78,127.30 = 28,341/x
  3. Step 3: Cross multiply
    52,069x = 78,127.30 × 28,341
  4. Step 4: Simplify right side
    52,069x = 2,214,205,809.30
  5. Step 5: Solve for x
    x = 2,214,205,809.30/52,069
  6. Step 6: Final answer
    x = 42,524.45

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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.