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Finding the Fourth Proportional to 105,215.64, 157,706.52 and 80,173.08

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Solution

The fourth proportional to 105,215.64, 157,706.52 and 80,173.08 is: 120,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,215.64 : 157,706.52 = 80,173.08 : x
  2. Step 2: Convert to fraction form
    105,215.64/157,706.52 = 80,173.08/x
  3. Step 3: Cross multiply
    105,215.64x = 157,706.52 × 80,173.08
  4. Step 4: Simplify right side
    105,215.64x = 12,643,817,444.48
  5. Step 5: Solve for x
    x = 12,643,817,444.48/105,215.64
  6. Step 6: Final answer
    x = 120,170.51

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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.