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Finding the Fourth Proportional to 229,866.72, 317,209.96 and 127,887

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Solution

The fourth proportional to 229,866.72, 317,209.96 and 127,887 is: 176,480.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,866.72 : 317,209.96 = 127,887 : x
  2. Step 2: Convert to fraction form
    229,866.72/317,209.96 = 127,887/x
  3. Step 3: Cross multiply
    229,866.72x = 317,209.96 × 127,887
  4. Step 4: Simplify right side
    229,866.72x = 40,567,030,154.52
  5. Step 5: Solve for x
    x = 40,567,030,154.52/229,866.72
  6. Step 6: Final answer
    x = 176,480.66

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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.