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Finding the Fourth Proportional to 230,364.48, 317,890.72 and 129,756.16

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Solution

The fourth proportional to 230,364.48, 317,890.72 and 129,756.16 is: 179,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,364.48 : 317,890.72 = 129,756.16 : x
  2. Step 2: Convert to fraction form
    230,364.48/317,890.72 = 129,756.16/x
  3. Step 3: Cross multiply
    230,364.48x = 317,890.72 × 129,756.16
  4. Step 4: Simplify right side
    230,364.48x = 41,248,279,126.84
  5. Step 5: Solve for x
    x = 41,248,279,126.84/230,364.48
  6. Step 6: Final answer
    x = 179,056.59

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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.