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Finding the Fourth Proportional to 101,952, 140,693.76 and 57,240

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Solution

The fourth proportional to 101,952, 140,693.76 and 57,240 is: 78,991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,952 : 140,693.76 = 57,240 : x
  2. Step 2: Convert to fraction form
    101,952/140,693.76 = 57,240/x
  3. Step 3: Cross multiply
    101,952x = 140,693.76 × 57,240
  4. Step 4: Simplify right side
    101,952x = 8,053,310,822.40
  5. Step 5: Solve for x
    x = 8,053,310,822.40/101,952
  6. Step 6: Final answer
    x = 78,991.20

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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.