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Finding the Fourth Proportional to 220,872, 304,784.16 and 125,382.72

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Solution

The fourth proportional to 220,872, 304,784.16 and 125,382.72 is: 173,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,872 : 304,784.16 = 125,382.72 : x
  2. Step 2: Convert to fraction form
    220,872/304,784.16 = 125,382.72/x
  3. Step 3: Cross multiply
    220,872x = 304,784.16 × 125,382.72
  4. Step 4: Simplify right side
    220,872x = 38,214,666,993.72
  5. Step 5: Solve for x
    x = 38,214,666,993.72/220,872
  6. Step 6: Final answer
    x = 173,017.25

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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.