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Finding the Fourth Proportional to 51,855.86, 71,539.80 and 38,460.08

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Solution

The fourth proportional to 51,855.86, 71,539.80 and 38,460.08 is: 53,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,855.86 : 71,539.80 = 38,460.08 : x
  2. Step 2: Convert to fraction form
    51,855.86/71,539.80 = 38,460.08/x
  3. Step 3: Cross multiply
    51,855.86x = 71,539.80 × 38,460.08
  4. Step 4: Simplify right side
    51,855.86x = 2,751,426,431.18
  5. Step 5: Solve for x
    x = 2,751,426,431.18/51,855.86
  6. Step 6: Final answer
    x = 53,059.12

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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.