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Finding the Fourth Proportional to 151,272, 208,755.36 and 84,208.32

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Solution

The fourth proportional to 151,272, 208,755.36 and 84,208.32 is: 116,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,272 : 208,755.36 = 84,208.32 : x
  2. Step 2: Convert to fraction form
    151,272/208,755.36 = 84,208.32/x
  3. Step 3: Cross multiply
    151,272x = 208,755.36 × 84,208.32
  4. Step 4: Simplify right side
    151,272x = 17,578,938,156.60
  5. Step 5: Solve for x
    x = 17,578,938,156.60/151,272
  6. Step 6: Final answer
    x = 116,207.48

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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.