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Finding the Fourth Proportional to 255,585.78, 383,415.69 and 78,070.02

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Solution

The fourth proportional to 255,585.78, 383,415.69 and 78,070.02 is: 117,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,585.78 : 383,415.69 = 78,070.02 : x
  2. Step 2: Convert to fraction form
    255,585.78/383,415.69 = 78,070.02/x
  3. Step 3: Cross multiply
    255,585.78x = 383,415.69 × 78,070.02
  4. Step 4: Simplify right side
    255,585.78x = 29,933,270,586.61
  5. Step 5: Solve for x
    x = 29,933,270,586.61/255,585.78
  6. Step 6: Final answer
    x = 117,116.34

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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.