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Finding the Fourth Proportional to 138,327.40, 190,889.30 and 77,897.80

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Solution

The fourth proportional to 138,327.40, 190,889.30 and 77,897.80 is: 107,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,327.40 : 190,889.30 = 77,897.80 : x
  2. Step 2: Convert to fraction form
    138,327.40/190,889.30 = 77,897.80/x
  3. Step 3: Cross multiply
    138,327.40x = 190,889.30 × 77,897.80
  4. Step 4: Simplify right side
    138,327.40x = 14,869,856,513.54
  5. Step 5: Solve for x
    x = 14,869,856,513.54/138,327.40
  6. Step 6: Final answer
    x = 107,497.55

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1.5x scale

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.