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Finding the Fourth Proportional to 39,592.78, 59,416.50 and 20,872.06

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Solution

The fourth proportional to 39,592.78, 59,416.50 and 20,872.06 is: 31,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,592.78 : 59,416.50 = 20,872.06 : x
  2. Step 2: Convert to fraction form
    39,592.78/59,416.50 = 20,872.06/x
  3. Step 3: Cross multiply
    39,592.78x = 59,416.50 × 20,872.06
  4. Step 4: Simplify right side
    39,592.78x = 1,240,144,752.99
  5. Step 5: Solve for x
    x = 1,240,144,752.99/39,592.78
  6. Step 6: Final answer
    x = 31,322.50

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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.