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Finding the Fourth Proportional to 53,478, 73,634.80 and 47,499.28

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Solution

The fourth proportional to 53,478, 73,634.80 and 47,499.28 is: 65,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,478 : 73,634.80 = 47,499.28 : x
  2. Step 2: Convert to fraction form
    53,478/73,634.80 = 47,499.28/x
  3. Step 3: Cross multiply
    53,478x = 73,634.80 × 47,499.28
  4. Step 4: Simplify right side
    53,478x = 3,497,599,982.94
  5. Step 5: Solve for x
    x = 3,497,599,982.94/53,478
  6. Step 6: Final answer
    x = 65,402.60

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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.