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Finding the Fourth Proportional to 185,720.40, 256,294.86 and 100,837.44

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Solution

The fourth proportional to 185,720.40, 256,294.86 and 100,837.44 is: 139,156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,720.40 : 256,294.86 = 100,837.44 : x
  2. Step 2: Convert to fraction form
    185,720.40/256,294.86 = 100,837.44/x
  3. Step 3: Cross multiply
    185,720.40x = 256,294.86 × 100,837.44
  4. Step 4: Simplify right side
    185,720.40x = 25,844,117,567.56
  5. Step 5: Solve for x
    x = 25,844,117,567.56/185,720.40
  6. Step 6: Final answer
    x = 139,156.05

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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.