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Finding the Fourth Proportional to 185,539.74, 256,045.49 and 100,657.41

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Solution

The fourth proportional to 185,539.74, 256,045.49 and 100,657.41 is: 138,907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,539.74 : 256,045.49 = 100,657.41 : x
  2. Step 2: Convert to fraction form
    185,539.74/256,045.49 = 100,657.41/x
  3. Step 3: Cross multiply
    185,539.74x = 256,045.49 × 100,657.41
  4. Step 4: Simplify right side
    185,539.74x = 25,772,875,865.58
  5. Step 5: Solve for x
    x = 25,772,875,865.58/185,539.74
  6. Step 6: Final answer
    x = 138,907.58

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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.