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Finding the Fourth Proportional to 137,702.80, 190,014.24 and 77,260.84

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Solution

The fourth proportional to 137,702.80, 190,014.24 and 77,260.84 is: 106,611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,702.80 : 190,014.24 = 77,260.84 : x
  2. Step 2: Convert to fraction form
    137,702.80/190,014.24 = 77,260.84/x
  3. Step 3: Cross multiply
    137,702.80x = 190,014.24 × 77,260.84
  4. Step 4: Simplify right side
    137,702.80x = 14,680,659,794.36
  5. Step 5: Solve for x
    x = 14,680,659,794.36/137,702.80
  6. Step 6: Final answer
    x = 106,611.19

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1.5x scale

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.