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Finding the Fourth Proportional to 158,702.76, 219,024 and 87,096.74

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Solution

The fourth proportional to 158,702.76, 219,024 and 87,096.74 is: 120,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,702.76 : 219,024 = 87,096.74 : x
  2. Step 2: Convert to fraction form
    158,702.76/219,024 = 87,096.74/x
  3. Step 3: Cross multiply
    158,702.76x = 219,024 × 87,096.74
  4. Step 4: Simplify right side
    158,702.76x = 19,076,275,286.64
  5. Step 5: Solve for x
    x = 19,076,275,286.64/158,702.76
  6. Step 6: Final answer
    x = 120,201.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.