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Finding the Fourth Proportional to 225,029.76, 310,541.18 and 128,230.86

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Solution

The fourth proportional to 225,029.76, 310,541.18 and 128,230.86 is: 176,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,029.76 : 310,541.18 = 128,230.86 : x
  2. Step 2: Convert to fraction form
    225,029.76/310,541.18 = 128,230.86/x
  3. Step 3: Cross multiply
    225,029.76x = 310,541.18 × 128,230.86
  4. Step 4: Simplify right side
    225,029.76x = 39,820,962,576.81
  5. Step 5: Solve for x
    x = 39,820,962,576.81/225,029.76
  6. Step 6: Final answer
    x = 176,958.65

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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.