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Finding the Fourth Proportional to 51,486, 77,235.12 and 18,199.20

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Solution

The fourth proportional to 51,486, 77,235.12 and 18,199.20 is: 27,300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,486 : 77,235.12 = 18,199.20 : x
  2. Step 2: Convert to fraction form
    51,486/77,235.12 = 18,199.20/x
  3. Step 3: Cross multiply
    51,486x = 77,235.12 × 18,199.20
  4. Step 4: Simplify right side
    51,486x = 1,405,617,395.90
  5. Step 5: Solve for x
    x = 1,405,617,395.90/51,486
  6. Step 6: Final answer
    x = 27,300.96

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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.