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Finding the Fourth Proportional to 48,663, 72,994.50 and 15,831

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Solution

The fourth proportional to 48,663, 72,994.50 and 15,831 is: 23,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,663 : 72,994.50 = 15,831 : x
  2. Step 2: Convert to fraction form
    48,663/72,994.50 = 15,831/x
  3. Step 3: Cross multiply
    48,663x = 72,994.50 × 15,831
  4. Step 4: Simplify right side
    48,663x = 1,155,575,929.50
  5. Step 5: Solve for x
    x = 1,155,575,929.50/48,663
  6. Step 6: Final answer
    x = 23,746.50

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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.