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Finding the Fourth Proportional to 90,702.37, 125,125.72 and 78,105.25

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Solution

The fourth proportional to 90,702.37, 125,125.72 and 78,105.25 is: 107,747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,702.37 : 125,125.72 = 78,105.25 : x
  2. Step 2: Convert to fraction form
    90,702.37/125,125.72 = 78,105.25/x
  3. Step 3: Cross multiply
    90,702.37x = 125,125.72 × 78,105.25
  4. Step 4: Simplify right side
    90,702.37x = 9,772,975,642.03
  5. Step 5: Solve for x
    x = 9,772,975,642.03/90,702.37
  6. Step 6: Final answer
    x = 107,747.74

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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.