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Finding the Fourth Proportional to 101,754, 140,420.52 and 57,042

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Solution

The fourth proportional to 101,754, 140,420.52 and 57,042 is: 78,717.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,754 : 140,420.52 = 57,042 : x
  2. Step 2: Convert to fraction form
    101,754/140,420.52 = 57,042/x
  3. Step 3: Cross multiply
    101,754x = 140,420.52 × 57,042
  4. Step 4: Simplify right side
    101,754x = 8,009,867,301.84
  5. Step 5: Solve for x
    x = 8,009,867,301.84/101,754
  6. Step 6: Final answer
    x = 78,717.96

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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.