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Finding the Fourth Proportional to 74,772, 112,164.48 and 19,368

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Solution

The fourth proportional to 74,772, 112,164.48 and 19,368 is: 29,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,772 : 112,164.48 = 19,368 : x
  2. Step 2: Convert to fraction form
    74,772/112,164.48 = 19,368/x
  3. Step 3: Cross multiply
    74,772x = 112,164.48 × 19,368
  4. Step 4: Simplify right side
    74,772x = 2,172,401,648.64
  5. Step 5: Solve for x
    x = 2,172,401,648.64/74,772
  6. Step 6: Final answer
    x = 29,053.68

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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.