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Finding the Fourth Proportional to 151,457.70, 209,010.78 and 83,474.73

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Solution

The fourth proportional to 151,457.70, 209,010.78 and 83,474.73 is: 115,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,457.70 : 209,010.78 = 83,474.73 : x
  2. Step 2: Convert to fraction form
    151,457.70/209,010.78 = 83,474.73/x
  3. Step 3: Cross multiply
    151,457.70x = 209,010.78 × 83,474.73
  4. Step 4: Simplify right side
    151,457.70x = 17,447,118,427.59
  5. Step 5: Solve for x
    x = 17,447,118,427.59/151,457.70
  6. Step 6: Final answer
    x = 115,194.66

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1.5x scale

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.