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Finding the Fourth Proportional to 255,903.16, 383,840.88 and 78,410.68

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Solution

The fourth proportional to 255,903.16, 383,840.88 and 78,410.68 is: 117,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,903.16 : 383,840.88 = 78,410.68 : x
  2. Step 2: Convert to fraction form
    255,903.16/383,840.88 = 78,410.68/x
  3. Step 3: Cross multiply
    255,903.16x = 383,840.88 × 78,410.68
  4. Step 4: Simplify right side
    255,903.16x = 30,097,224,412.60
  5. Step 5: Solve for x
    x = 30,097,224,412.60/255,903.16
  6. Step 6: Final answer
    x = 117,611.78

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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.