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Finding the Fourth Proportional to 128,531.34, 177,311.43 and 83,216.70

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Solution

The fourth proportional to 128,531.34, 177,311.43 and 83,216.70 is: 114,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,531.34 : 177,311.43 = 83,216.70 : x
  2. Step 2: Convert to fraction form
    128,531.34/177,311.43 = 83,216.70/x
  3. Step 3: Cross multiply
    128,531.34x = 177,311.43 × 83,216.70
  4. Step 4: Simplify right side
    128,531.34x = 14,755,272,076.88
  5. Step 5: Solve for x
    x = 14,755,272,076.88/128,531.34
  6. Step 6: Final answer
    x = 114,799.02

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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.