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Finding the Fourth Proportional to 167,547.52, 231,000 and 137,221.12

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Solution

The fourth proportional to 167,547.52, 231,000 and 137,221.12 is: 189,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,547.52 : 231,000 = 137,221.12 : x
  2. Step 2: Convert to fraction form
    167,547.52/231,000 = 137,221.12/x
  3. Step 3: Cross multiply
    167,547.52x = 231,000 × 137,221.12
  4. Step 4: Simplify right side
    167,547.52x = 31,698,078,720
  5. Step 5: Solve for x
    x = 31,698,078,720/167,547.52
  6. Step 6: Final answer
    x = 189,188.59

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1.5x scale

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.