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Finding the Fourth Proportional to 52,041, 78,061.50 and 19,209

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Solution

The fourth proportional to 52,041, 78,061.50 and 19,209 is: 28,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,041 : 78,061.50 = 19,209 : x
  2. Step 2: Convert to fraction form
    52,041/78,061.50 = 19,209/x
  3. Step 3: Cross multiply
    52,041x = 78,061.50 × 19,209
  4. Step 4: Simplify right side
    52,041x = 1,499,483,353.50
  5. Step 5: Solve for x
    x = 1,499,483,353.50/52,041
  6. Step 6: Final answer
    x = 28,813.50

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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.