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Finding the Fourth Proportional to 151,292.84, 208,782.36 and 83,308.40

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Solution

The fourth proportional to 151,292.84, 208,782.36 and 83,308.40 is: 114,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,292.84 : 208,782.36 = 83,308.40 : x
  2. Step 2: Convert to fraction form
    151,292.84/208,782.36 = 83,308.40/x
  3. Step 3: Cross multiply
    151,292.84x = 208,782.36 × 83,308.40
  4. Step 4: Simplify right side
    151,292.84x = 17,393,324,359.82
  5. Step 5: Solve for x
    x = 17,393,324,359.82/151,292.84
  6. Step 6: Final answer
    x = 114,964.62

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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.