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Finding the Fourth Proportional to 151,735.68, 209,416.32 and 84,672

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Solution

The fourth proportional to 151,735.68, 209,416.32 and 84,672 is: 116,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,735.68 : 209,416.32 = 84,672 : x
  2. Step 2: Convert to fraction form
    151,735.68/209,416.32 = 84,672/x
  3. Step 3: Cross multiply
    151,735.68x = 209,416.32 × 84,672
  4. Step 4: Simplify right side
    151,735.68x = 17,731,698,647.04
  5. Step 5: Solve for x
    x = 17,731,698,647.04/151,735.68
  6. Step 6: Final answer
    x = 116,859.12

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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.