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Finding the Fourth Proportional to 226,083.65, 311,931.51 and 145,557.79

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Solution

The fourth proportional to 226,083.65, 311,931.51 and 145,557.79 is: 200,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,083.65 : 311,931.51 = 145,557.79 : x
  2. Step 2: Convert to fraction form
    226,083.65/311,931.51 = 145,557.79/x
  3. Step 3: Cross multiply
    226,083.65x = 311,931.51 × 145,557.79
  4. Step 4: Simplify right side
    226,083.65x = 45,404,059,901.29
  5. Step 5: Solve for x
    x = 45,404,059,901.29/226,083.65
  6. Step 6: Final answer
    x = 200,828.59

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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.