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Finding the Fourth Proportional to 161,754.40, 242,638.80 and 55,136.80

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Solution

The fourth proportional to 161,754.40, 242,638.80 and 55,136.80 is: 82,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,754.40 : 242,638.80 = 55,136.80 : x
  2. Step 2: Convert to fraction form
    161,754.40/242,638.80 = 55,136.80/x
  3. Step 3: Cross multiply
    161,754.40x = 242,638.80 × 55,136.80
  4. Step 4: Simplify right side
    161,754.40x = 13,378,326,987.84
  5. Step 5: Solve for x
    x = 13,378,326,987.84/161,754.40
  6. Step 6: Final answer
    x = 82,707.65

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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.