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Finding the Fourth Proportional to 226,089.60, 312,009.84 and 145,672.80

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Solution

The fourth proportional to 226,089.60, 312,009.84 and 145,672.80 is: 201,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,089.60 : 312,009.84 = 145,672.80 : x
  2. Step 2: Convert to fraction form
    226,089.60/312,009.84 = 145,672.80/x
  3. Step 3: Cross multiply
    226,089.60x = 312,009.84 × 145,672.80
  4. Step 4: Simplify right side
    226,089.60x = 45,451,347,020.35
  5. Step 5: Solve for x
    x = 45,451,347,020.35/226,089.60
  6. Step 6: Final answer
    x = 201,032.45

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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.