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Finding the Fourth Proportional to 255,397.86, 383,095.58 and 77,905.80

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Solution

The fourth proportional to 255,397.86, 383,095.58 and 77,905.80 is: 116,858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,397.86 : 383,095.58 = 77,905.80 : x
  2. Step 2: Convert to fraction form
    255,397.86/383,095.58 = 77,905.80/x
  3. Step 3: Cross multiply
    255,397.86x = 383,095.58 × 77,905.80
  4. Step 4: Simplify right side
    255,397.86x = 29,845,367,246.84
  5. Step 5: Solve for x
    x = 29,845,367,246.84/255,397.86
  6. Step 6: Final answer
    x = 116,858.33

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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.