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Finding the Fourth Proportional to 151,723.50, 209,378.43 and 84,655.50

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Solution

The fourth proportional to 151,723.50, 209,378.43 and 84,655.50 is: 116,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,723.50 : 209,378.43 = 84,655.50 : x
  2. Step 2: Convert to fraction form
    151,723.50/209,378.43 = 84,655.50/x
  3. Step 3: Cross multiply
    151,723.50x = 209,378.43 × 84,655.50
  4. Step 4: Simplify right side
    151,723.50x = 17,725,035,680.87
  5. Step 5: Solve for x
    x = 17,725,035,680.87/151,723.50
  6. Step 6: Final answer
    x = 116,824.59

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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.