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Finding the Fourth Proportional to 218,804.92, 301,946.58 and 123,309.70

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Solution

The fourth proportional to 218,804.92, 301,946.58 and 123,309.70 is: 170,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,804.92 : 301,946.58 = 123,309.70 : x
  2. Step 2: Convert to fraction form
    218,804.92/301,946.58 = 123,309.70/x
  3. Step 3: Cross multiply
    218,804.92x = 301,946.58 × 123,309.70
  4. Step 4: Simplify right side
    218,804.92x = 37,232,942,195.83
  5. Step 5: Solve for x
    x = 37,232,942,195.83/218,804.92
  6. Step 6: Final answer
    x = 170,165.01

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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.