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Finding the Fourth Proportional to 151,765.68, 209,457.76 and 84,702

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Solution

The fourth proportional to 151,765.68, 209,457.76 and 84,702 is: 116,900.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,765.68 : 209,457.76 = 84,702 : x
  2. Step 2: Convert to fraction form
    151,765.68/209,457.76 = 84,702/x
  3. Step 3: Cross multiply
    151,765.68x = 209,457.76 × 84,702
  4. Step 4: Simplify right side
    151,765.68x = 17,741,491,187.52
  5. Step 5: Solve for x
    x = 17,741,491,187.52/151,765.68
  6. Step 6: Final answer
    x = 116,900.55

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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.