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Finding the Fourth Proportional to 151,370, 208,897.08 and 84,302

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Solution

The fourth proportional to 151,370, 208,897.08 and 84,302 is: 116,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,370 : 208,897.08 = 84,302 : x
  2. Step 2: Convert to fraction form
    151,370/208,897.08 = 84,302/x
  3. Step 3: Cross multiply
    151,370x = 208,897.08 × 84,302
  4. Step 4: Simplify right side
    151,370x = 17,610,441,638.16
  5. Step 5: Solve for x
    x = 17,610,441,638.16/151,370
  6. Step 6: Final answer
    x = 116,340.37

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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.