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Finding the Fourth Proportional to 229,956.96, 317,349.75 and 127,986.72

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Solution

The fourth proportional to 229,956.96, 317,349.75 and 127,986.72 is: 176,626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,956.96 : 317,349.75 = 127,986.72 : x
  2. Step 2: Convert to fraction form
    229,956.96/317,349.75 = 127,986.72/x
  3. Step 3: Cross multiply
    229,956.96x = 317,349.75 × 127,986.72
  4. Step 4: Simplify right side
    229,956.96x = 40,616,553,595.32
  5. Step 5: Solve for x
    x = 40,616,553,595.32/229,956.96
  6. Step 6: Final answer
    x = 176,626.76

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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.