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Finding the Fourth Proportional to 255,904.27, 383,842.58 and 78,411.81

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Solution

The fourth proportional to 255,904.27, 383,842.58 and 78,411.81 is: 117,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,904.27 : 383,842.58 = 78,411.81 : x
  2. Step 2: Convert to fraction form
    255,904.27/383,842.58 = 78,411.81/x
  3. Step 3: Cross multiply
    255,904.27x = 383,842.58 × 78,411.81
  4. Step 4: Simplify right side
    255,904.27x = 30,097,789,621.40
  5. Step 5: Solve for x
    x = 30,097,789,621.40/255,904.27
  6. Step 6: Final answer
    x = 117,613.47

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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.