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Finding the Fourth Proportional to 51,578, 77,401.58 and 18,746

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Solution

The fourth proportional to 51,578, 77,401.58 and 18,746 is: 28,131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,578 : 77,401.58 = 18,746 : x
  2. Step 2: Convert to fraction form
    51,578/77,401.58 = 18,746/x
  3. Step 3: Cross multiply
    51,578x = 77,401.58 × 18,746
  4. Step 4: Simplify right side
    51,578x = 1,450,970,018.68
  5. Step 5: Solve for x
    x = 1,450,970,018.68/51,578
  6. Step 6: Final answer
    x = 28,131.57

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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.