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Finding the Fourth Proportional to 153,499.66, 230,234.84 and 72,427.83

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Solution

The fourth proportional to 153,499.66, 230,234.84 and 72,427.83 is: 108,634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,499.66 : 230,234.84 = 72,427.83 : x
  2. Step 2: Convert to fraction form
    153,499.66/230,234.84 = 72,427.83/x
  3. Step 3: Cross multiply
    153,499.66x = 230,234.84 × 72,427.83
  4. Step 4: Simplify right side
    153,499.66x = 16,675,409,748.92
  5. Step 5: Solve for x
    x = 16,675,409,748.92/153,499.66
  6. Step 6: Final answer
    x = 108,634.83

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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.