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Finding the Fourth Proportional to 101,743.28, 140,405.28 and 57,031.28

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Solution

The fourth proportional to 101,743.28, 140,405.28 and 57,031.28 is: 78,702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,743.28 : 140,405.28 = 57,031.28 : x
  2. Step 2: Convert to fraction form
    101,743.28/140,405.28 = 57,031.28/x
  3. Step 3: Cross multiply
    101,743.28x = 140,405.28 × 57,031.28
  4. Step 4: Simplify right side
    101,743.28x = 8,007,492,837.16
  5. Step 5: Solve for x
    x = 8,007,492,837.16/101,743.28
  6. Step 6: Final answer
    x = 78,702.92

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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.