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Finding the Fourth Proportional to 151,718, 209,370.84 and 84,650

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Solution

The fourth proportional to 151,718, 209,370.84 and 84,650 is: 116,817

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,718 : 209,370.84 = 84,650 : x
  2. Step 2: Convert to fraction form
    151,718/209,370.84 = 84,650/x
  3. Step 3: Cross multiply
    151,718x = 209,370.84 × 84,650
  4. Step 4: Simplify right side
    151,718x = 17,723,241,606
  5. Step 5: Solve for x
    x = 17,723,241,606/151,718
  6. Step 6: Final answer
    x = 116,817

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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.