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Finding the Fourth Proportional to 255,780.59, 383,565.32 and 87,314.50

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Solution

The fourth proportional to 255,780.59, 383,565.32 and 87,314.50 is: 130,935.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,780.59 : 383,565.32 = 87,314.50 : x
  2. Step 2: Convert to fraction form
    255,780.59/383,565.32 = 87,314.50/x
  3. Step 3: Cross multiply
    255,780.59x = 383,565.32 × 87,314.50
  4. Step 4: Simplify right side
    255,780.59x = 33,490,814,133.14
  5. Step 5: Solve for x
    x = 33,490,814,133.14/255,780.59
  6. Step 6: Final answer
    x = 130,935.71

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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.