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Finding the Fourth Proportional to 86,468, 129,702 and 20,804

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Solution

The fourth proportional to 86,468, 129,702 and 20,804 is: 31,206

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,468 : 129,702 = 20,804 : x
  2. Step 2: Convert to fraction form
    86,468/129,702 = 20,804/x
  3. Step 3: Cross multiply
    86,468x = 129,702 × 20,804
  4. Step 4: Simplify right side
    86,468x = 2,698,320,408
  5. Step 5: Solve for x
    x = 2,698,320,408/86,468
  6. Step 6: Final answer
    x = 31,206

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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.