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Finding the Fourth Proportional to 255,975.39, 383,978.07 and 78,484.14

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Solution

The fourth proportional to 255,975.39, 383,978.07 and 78,484.14 is: 117,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,975.39 : 383,978.07 = 78,484.14 : x
  2. Step 2: Convert to fraction form
    255,975.39/383,978.07 = 78,484.14/x
  3. Step 3: Cross multiply
    255,975.39x = 383,978.07 × 78,484.14
  4. Step 4: Simplify right side
    255,975.39x = 30,136,188,602.81
  5. Step 5: Solve for x
    x = 30,136,188,602.81/255,975.39
  6. Step 6: Final answer
    x = 117,730.80

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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.