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Finding the Fourth Proportional to 151,057, 208,458.66 and 83,989

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Solution

The fourth proportional to 151,057, 208,458.66 and 83,989 is: 115,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,057 : 208,458.66 = 83,989 : x
  2. Step 2: Convert to fraction form
    151,057/208,458.66 = 83,989/x
  3. Step 3: Cross multiply
    151,057x = 208,458.66 × 83,989
  4. Step 4: Simplify right side
    151,057x = 17,508,234,394.74
  5. Step 5: Solve for x
    x = 17,508,234,394.74/151,057
  6. Step 6: Final answer
    x = 115,904.82

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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.