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Finding the Fourth Proportional to 230,472, 318,051.36 and 129,873.60

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Solution

The fourth proportional to 230,472, 318,051.36 and 129,873.60 is: 179,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,472 : 318,051.36 = 129,873.60 : x
  2. Step 2: Convert to fraction form
    230,472/318,051.36 = 129,873.60/x
  3. Step 3: Cross multiply
    230,472x = 318,051.36 × 129,873.60
  4. Step 4: Simplify right side
    230,472x = 41,306,475,108.10
  5. Step 5: Solve for x
    x = 41,306,475,108.10/230,472
  6. Step 6: Final answer
    x = 179,225.57

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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.