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Finding the Fourth Proportional to 225,457, 311,153.34 and 124,855

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Solution

The fourth proportional to 225,457, 311,153.34 and 124,855 is: 172,312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,457 : 311,153.34 = 124,855 : x
  2. Step 2: Convert to fraction form
    225,457/311,153.34 = 124,855/x
  3. Step 3: Cross multiply
    225,457x = 311,153.34 × 124,855
  4. Step 4: Simplify right side
    225,457x = 38,849,050,265.70
  5. Step 5: Solve for x
    x = 38,849,050,265.70/225,457
  6. Step 6: Final answer
    x = 172,312.46

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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.