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Finding the Fourth Proportional to 151,645, 209,270.10 and 84,577

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Solution

The fourth proportional to 151,645, 209,270.10 and 84,577 is: 116,716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,645 : 209,270.10 = 84,577 : x
  2. Step 2: Convert to fraction form
    151,645/209,270.10 = 84,577/x
  3. Step 3: Cross multiply
    151,645x = 209,270.10 × 84,577
  4. Step 4: Simplify right side
    151,645x = 17,699,437,247.70
  5. Step 5: Solve for x
    x = 17,699,437,247.70/151,645
  6. Step 6: Final answer
    x = 116,716.26

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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.