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Finding the Fourth Proportional to 151,289.40, 208,780.74 and 83,308.79

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Solution

The fourth proportional to 151,289.40, 208,780.74 and 83,308.79 is: 114,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,289.40 : 208,780.74 = 83,308.79 : x
  2. Step 2: Convert to fraction form
    151,289.40/208,780.74 = 83,308.79/x
  3. Step 3: Cross multiply
    151,289.40x = 208,780.74 × 83,308.79
  4. Step 4: Simplify right side
    151,289.40x = 17,393,270,523.72
  5. Step 5: Solve for x
    x = 17,393,270,523.72/151,289.40
  6. Step 6: Final answer
    x = 114,966.88

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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.