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Finding the Fourth Proportional to 223,953.57, 309,055.92 and 123,351.57

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Solution

The fourth proportional to 223,953.57, 309,055.92 and 123,351.57 is: 170,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,953.57 : 309,055.92 = 123,351.57 : x
  2. Step 2: Convert to fraction form
    223,953.57/309,055.92 = 123,351.57/x
  3. Step 3: Cross multiply
    223,953.57x = 309,055.92 × 123,351.57
  4. Step 4: Simplify right side
    223,953.57x = 38,122,532,949.79
  5. Step 5: Solve for x
    x = 38,122,532,949.79/223,953.57
  6. Step 6: Final answer
    x = 170,225.16

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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.