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Finding the Fourth Proportional to 82,323.84, 123,484.68 and 19,994.28

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Solution

The fourth proportional to 82,323.84, 123,484.68 and 19,994.28 is: 29,991.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,323.84 : 123,484.68 = 19,994.28 : x
  2. Step 2: Convert to fraction form
    82,323.84/123,484.68 = 19,994.28/x
  3. Step 3: Cross multiply
    82,323.84x = 123,484.68 × 19,994.28
  4. Step 4: Simplify right side
    82,323.84x = 2,468,987,267.63
  5. Step 5: Solve for x
    x = 2,468,987,267.63/82,323.84
  6. Step 6: Final answer
    x = 29,991.16

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1.5x scale

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.