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Finding the Fourth Proportional to 230,574.12, 345,862.80 and 72,815.28

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Solution

The fourth proportional to 230,574.12, 345,862.80 and 72,815.28 is: 109,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,574.12 : 345,862.80 = 72,815.28 : x
  2. Step 2: Convert to fraction form
    230,574.12/345,862.80 = 72,815.28/x
  3. Step 3: Cross multiply
    230,574.12x = 345,862.80 × 72,815.28
  4. Step 4: Simplify right side
    230,574.12x = 25,184,096,623.58
  5. Step 5: Solve for x
    x = 25,184,096,623.58/230,574.12
  6. Step 6: Final answer
    x = 109,223.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.