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Finding the Fourth Proportional to 151,377, 208,900.26 and 84,309

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Solution

The fourth proportional to 151,377, 208,900.26 and 84,309 is: 116,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,377 : 208,900.26 = 84,309 : x
  2. Step 2: Convert to fraction form
    151,377/208,900.26 = 84,309/x
  3. Step 3: Cross multiply
    151,377x = 208,900.26 × 84,309
  4. Step 4: Simplify right side
    151,377x = 17,612,172,020.34
  5. Step 5: Solve for x
    x = 17,612,172,020.34/151,377
  6. Step 6: Final answer
    x = 116,346.42

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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.