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Finding the Fourth Proportional to 151,490.76, 209,047.84 and 83,504.22

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Solution

The fourth proportional to 151,490.76, 209,047.84 and 83,504.22 is: 115,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,490.76 : 209,047.84 = 83,504.22 : x
  2. Step 2: Convert to fraction form
    151,490.76/209,047.84 = 83,504.22/x
  3. Step 3: Cross multiply
    151,490.76x = 209,047.84 × 83,504.22
  4. Step 4: Simplify right side
    151,490.76x = 17,456,376,821.88
  5. Step 5: Solve for x
    x = 17,456,376,821.88/151,490.76
  6. Step 6: Final answer
    x = 115,230.64

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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.