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Finding the Fourth Proportional to 216,670.72, 324,784.68 and 83,498.80

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Solution

The fourth proportional to 216,670.72, 324,784.68 and 83,498.80 is: 125,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,670.72 : 324,784.68 = 83,498.80 : x
  2. Step 2: Convert to fraction form
    216,670.72/324,784.68 = 83,498.80/x
  3. Step 3: Cross multiply
    216,670.72x = 324,784.68 × 83,498.80
  4. Step 4: Simplify right side
    216,670.72x = 27,119,131,038.38
  5. Step 5: Solve for x
    x = 27,119,131,038.38/216,670.72
  6. Step 6: Final answer
    x = 125,162.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.