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Finding the Fourth Proportional to 151,274.32, 208,756.84 and 83,289.90

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Solution

The fourth proportional to 151,274.32, 208,756.84 and 83,289.90 is: 114,939.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,274.32 : 208,756.84 = 83,289.90 : x
  2. Step 2: Convert to fraction form
    151,274.32/208,756.84 = 83,289.90/x
  3. Step 3: Cross multiply
    151,274.32x = 208,756.84 × 83,289.90
  4. Step 4: Simplify right side
    151,274.32x = 17,387,336,327.92
  5. Step 5: Solve for x
    x = 17,387,336,327.92/151,274.32
  6. Step 6: Final answer
    x = 114,939.11

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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.