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Finding the Fourth Proportional to 105,212.64, 157,702.02 and 80,170.08

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Solution

The fourth proportional to 105,212.64, 157,702.02 and 80,170.08 is: 120,166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,212.64 : 157,702.02 = 80,170.08 : x
  2. Step 2: Convert to fraction form
    105,212.64/157,702.02 = 80,170.08/x
  3. Step 3: Cross multiply
    105,212.64x = 157,702.02 × 80,170.08
  4. Step 4: Simplify right side
    105,212.64x = 12,642,983,559.56
  5. Step 5: Solve for x
    x = 12,642,983,559.56/105,212.64
  6. Step 6: Final answer
    x = 120,166.01

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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.