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Finding the Fourth Proportional to 216,573.04, 324,859.56 and 105,670

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Solution

The fourth proportional to 216,573.04, 324,859.56 and 105,670 is: 158,505

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,573.04 : 324,859.56 = 105,670 : x
  2. Step 2: Convert to fraction form
    216,573.04/324,859.56 = 105,670/x
  3. Step 3: Cross multiply
    216,573.04x = 324,859.56 × 105,670
  4. Step 4: Simplify right side
    216,573.04x = 34,327,909,705.20
  5. Step 5: Solve for x
    x = 34,327,909,705.20/216,573.04
  6. Step 6: Final answer
    x = 158,505

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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.