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Finding the Fourth Proportional to 156,978.70, 235,393.85 and 57,069.26

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Solution

The fourth proportional to 156,978.70, 235,393.85 and 57,069.26 is: 85,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978.70 : 235,393.85 = 57,069.26 : x
  2. Step 2: Convert to fraction form
    156,978.70/235,393.85 = 57,069.26/x
  3. Step 3: Cross multiply
    156,978.70x = 235,393.85 × 57,069.26
  4. Step 4: Simplify right side
    156,978.70x = 13,433,752,828.05
  5. Step 5: Solve for x
    x = 13,433,752,828.05/156,978.70
  6. Step 6: Final answer
    x = 85,576.91

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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.