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Finding the Fourth Proportional to 81,051.74, 121,570.31 and 57,460.39

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Solution

The fourth proportional to 81,051.74, 121,570.31 and 57,460.39 is: 86,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,051.74 : 121,570.31 = 57,460.39 : x
  2. Step 2: Convert to fraction form
    81,051.74/121,570.31 = 57,460.39/x
  3. Step 3: Cross multiply
    81,051.74x = 121,570.31 × 57,460.39
  4. Step 4: Simplify right side
    81,051.74x = 6,985,477,425.02
  5. Step 5: Solve for x
    x = 6,985,477,425.02/81,051.74
  6. Step 6: Final answer
    x = 86,185.41

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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.