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Finding the Fourth Proportional to 53,825, 74,278.50 and 30,273

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Solution

The fourth proportional to 53,825, 74,278.50 and 30,273 is: 41,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,825 : 74,278.50 = 30,273 : x
  2. Step 2: Convert to fraction form
    53,825/74,278.50 = 30,273/x
  3. Step 3: Cross multiply
    53,825x = 74,278.50 × 30,273
  4. Step 4: Simplify right side
    53,825x = 2,248,633,030.50
  5. Step 5: Solve for x
    x = 2,248,633,030.50/53,825
  6. Step 6: Final answer
    x = 41,776.74

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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.