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Finding the Fourth Proportional to 86,462, 129,693.04 and 20,798

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Solution

The fourth proportional to 86,462, 129,693.04 and 20,798 is: 31,197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,462 : 129,693.04 = 20,798 : x
  2. Step 2: Convert to fraction form
    86,462/129,693.04 = 20,798/x
  3. Step 3: Cross multiply
    86,462x = 129,693.04 × 20,798
  4. Step 4: Simplify right side
    86,462x = 2,697,355,845.92
  5. Step 5: Solve for x
    x = 2,697,355,845.92/86,462
  6. Step 6: Final answer
    x = 31,197.01

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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.