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Finding the Fourth Proportional to 255,901.80, 383,920.76 and 87,421.88

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Solution

The fourth proportional to 255,901.80, 383,920.76 and 87,421.88 is: 131,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,901.80 : 383,920.76 = 87,421.88 : x
  2. Step 2: Convert to fraction form
    255,901.80/383,920.76 = 87,421.88/x
  3. Step 3: Cross multiply
    255,901.80x = 383,920.76 × 87,421.88
  4. Step 4: Simplify right side
    255,901.80x = 33,563,074,610.23
  5. Step 5: Solve for x
    x = 33,563,074,610.23/255,901.80
  6. Step 6: Final answer
    x = 131,156.07

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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.