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Finding the Fourth Proportional to 225,191.31, 310,767.96 and 123,225.71

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Solution

The fourth proportional to 225,191.31, 310,767.96 and 123,225.71 is: 170,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,191.31 : 310,767.96 = 123,225.71 : x
  2. Step 2: Convert to fraction form
    225,191.31/310,767.96 = 123,225.71/x
  3. Step 3: Cross multiply
    225,191.31x = 310,767.96 × 123,225.71
  4. Step 4: Simplify right side
    225,191.31x = 38,294,602,516.25
  5. Step 5: Solve for x
    x = 38,294,602,516.25/225,191.31
  6. Step 6: Final answer
    x = 170,053.64

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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.