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Finding the Fourth Proportional to 51,673.44, 71,320.08 and 30,460

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Solution

The fourth proportional to 51,673.44, 71,320.08 and 30,460 is: 42,041.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,673.44 : 71,320.08 = 30,460 : x
  2. Step 2: Convert to fraction form
    51,673.44/71,320.08 = 30,460/x
  3. Step 3: Cross multiply
    51,673.44x = 71,320.08 × 30,460
  4. Step 4: Simplify right side
    51,673.44x = 2,172,409,636.80
  5. Step 5: Solve for x
    x = 2,172,409,636.80/51,673.44
  6. Step 6: Final answer
    x = 42,041.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.