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Finding the Fourth Proportional to 156,702.78, 235,004.31 and 51,497.46

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Solution

The fourth proportional to 156,702.78, 235,004.31 and 51,497.46 is: 77,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,702.78 : 235,004.31 = 51,497.46 : x
  2. Step 2: Convert to fraction form
    156,702.78/235,004.31 = 51,497.46/x
  3. Step 3: Cross multiply
    156,702.78x = 235,004.31 × 51,497.46
  4. Step 4: Simplify right side
    156,702.78x = 12,102,125,054.05
  5. Step 5: Solve for x
    x = 12,102,125,054.05/156,702.78
  6. Step 6: Final answer
    x = 77,229.80

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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.