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Finding the Fourth Proportional to 53,125.40, 79,662.69 and 30,945.11

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Solution

The fourth proportional to 53,125.40, 79,662.69 and 30,945.11 is: 46,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,125.40 : 79,662.69 = 30,945.11 : x
  2. Step 2: Convert to fraction form
    53,125.40/79,662.69 = 30,945.11/x
  3. Step 3: Cross multiply
    53,125.40x = 79,662.69 × 30,945.11
  4. Step 4: Simplify right side
    53,125.40x = 2,465,170,306.63
  5. Step 5: Solve for x
    x = 2,465,170,306.63/53,125.40
  6. Step 6: Final answer
    x = 46,402.85

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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.