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Finding the Fourth Proportional to 52,190, 78,299.40 and 15,254

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Solution

The fourth proportional to 52,190, 78,299.40 and 15,254 is: 22,885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,190 : 78,299.40 = 15,254 : x
  2. Step 2: Convert to fraction form
    52,190/78,299.40 = 15,254/x
  3. Step 3: Cross multiply
    52,190x = 78,299.40 × 15,254
  4. Step 4: Simplify right side
    52,190x = 1,194,379,047.60
  5. Step 5: Solve for x
    x = 1,194,379,047.60/52,190
  6. Step 6: Final answer
    x = 22,885.21

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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.