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Finding the Fourth Proportional to 52,035.21, 77,978.09 and 25,709.20

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Solution

The fourth proportional to 52,035.21, 77,978.09 and 25,709.20 is: 38,526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035.21 : 77,978.09 = 25,709.20 : x
  2. Step 2: Convert to fraction form
    52,035.21/77,978.09 = 25,709.20/x
  3. Step 3: Cross multiply
    52,035.21x = 77,978.09 × 25,709.20
  4. Step 4: Simplify right side
    52,035.21x = 2,004,754,180.76
  5. Step 5: Solve for x
    x = 2,004,754,180.76/52,035.21
  6. Step 6: Final answer
    x = 38,526.88

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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.