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Finding the Fourth Proportional to 151,650.81, 209,276.80 and 83,668.39

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Solution

The fourth proportional to 151,650.81, 209,276.80 and 83,668.39 is: 115,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,650.81 : 209,276.80 = 83,668.39 : x
  2. Step 2: Convert to fraction form
    151,650.81/209,276.80 = 83,668.39/x
  3. Step 3: Cross multiply
    151,650.81x = 209,276.80 × 83,668.39
  4. Step 4: Simplify right side
    151,650.81x = 17,509,852,187.99
  5. Step 5: Solve for x
    x = 17,509,852,187.99/151,650.81
  6. Step 6: Final answer
    x = 115,461.65

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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.