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Finding the Fourth Proportional to 51,577, 77,400.08 and 18,745

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Solution

The fourth proportional to 51,577, 77,400.08 and 18,745 is: 28,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,577 : 77,400.08 = 18,745 : x
  2. Step 2: Convert to fraction form
    51,577/77,400.08 = 18,745/x
  3. Step 3: Cross multiply
    51,577x = 77,400.08 × 18,745
  4. Step 4: Simplify right side
    51,577x = 1,450,864,499.60
  5. Step 5: Solve for x
    x = 1,450,864,499.60/51,577
  6. Step 6: Final answer
    x = 28,130.07

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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.