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Finding the Fourth Proportional to 223,225.92, 308,132.64 and 147,798.72

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Solution

The fourth proportional to 223,225.92, 308,132.64 and 147,798.72 is: 204,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,225.92 : 308,132.64 = 147,798.72 : x
  2. Step 2: Convert to fraction form
    223,225.92/308,132.64 = 147,798.72/x
  3. Step 3: Cross multiply
    223,225.92x = 308,132.64 × 147,798.72
  4. Step 4: Simplify right side
    223,225.92x = 45,541,609,782.22
  5. Step 5: Solve for x
    x = 45,541,609,782.22/223,225.92
  6. Step 6: Final answer
    x = 204,015.78

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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.