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Finding the Fourth Proportional to 225,428, 311,088.41 and 122,061.70

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Solution

The fourth proportional to 225,428, 311,088.41 and 122,061.70 is: 168,443.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,428 : 311,088.41 = 122,061.70 : x
  2. Step 2: Convert to fraction form
    225,428/311,088.41 = 122,061.70/x
  3. Step 3: Cross multiply
    225,428x = 311,088.41 × 122,061.70
  4. Step 4: Simplify right side
    225,428x = 37,971,980,174.90
  5. Step 5: Solve for x
    x = 37,971,980,174.90/225,428
  6. Step 6: Final answer
    x = 168,443.94

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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.