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Finding the Fourth Proportional to 255,373.56, 383,140.53 and 105,684.35

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Solution

The fourth proportional to 255,373.56, 383,140.53 and 105,684.35 is: 158,559.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,373.56 : 383,140.53 = 105,684.35 : x
  2. Step 2: Convert to fraction form
    255,373.56/383,140.53 = 105,684.35/x
  3. Step 3: Cross multiply
    255,373.56x = 383,140.53 × 105,684.35
  4. Step 4: Simplify right side
    255,373.56x = 40,491,955,956.00
  5. Step 5: Solve for x
    x = 40,491,955,956.00/255,373.56
  6. Step 6: Final answer
    x = 158,559.70

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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.