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Finding the Fourth Proportional to 150,777.47, 208,076.52 and 81,869.84

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Solution

The fourth proportional to 150,777.47, 208,076.52 and 81,869.84 is: 112,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,777.47 : 208,076.52 = 81,869.84 : x
  2. Step 2: Convert to fraction form
    150,777.47/208,076.52 = 81,869.84/x
  3. Step 3: Cross multiply
    150,777.47x = 208,076.52 × 81,869.84
  4. Step 4: Simplify right side
    150,777.47x = 17,035,190,359.77
  5. Step 5: Solve for x
    x = 17,035,190,359.77/150,777.47
  6. Step 6: Final answer
    x = 112,982.34

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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.