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Finding the Fourth Proportional to 52,130, 78,209.40 and 15,194

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Solution

The fourth proportional to 52,130, 78,209.40 and 15,194 is: 22,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,130 : 78,209.40 = 15,194 : x
  2. Step 2: Convert to fraction form
    52,130/78,209.40 = 15,194/x
  3. Step 3: Cross multiply
    52,130x = 78,209.40 × 15,194
  4. Step 4: Simplify right side
    52,130x = 1,188,313,623.60
  5. Step 5: Solve for x
    x = 1,188,313,623.60/52,130
  6. Step 6: Final answer
    x = 22,795.20

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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.