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Finding the Fourth Proportional to 255,904.09, 383,842.28 and 78,411.62

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Solution

The fourth proportional to 255,904.09, 383,842.28 and 78,411.62 is: 117,613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,904.09 : 383,842.28 = 78,411.62 : x
  2. Step 2: Convert to fraction form
    255,904.09/383,842.28 = 78,411.62/x
  3. Step 3: Cross multiply
    255,904.09x = 383,842.28 × 78,411.62
  4. Step 4: Simplify right side
    255,904.09x = 30,097,696,154.93
  5. Step 5: Solve for x
    x = 30,097,696,154.93/255,904.09
  6. Step 6: Final answer
    x = 117,613.19

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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.