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Finding the Fourth Proportional to 138,632.76, 207,965.40 and 48,648

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Solution

The fourth proportional to 138,632.76, 207,965.40 and 48,648 is: 72,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,632.76 : 207,965.40 = 48,648 : x
  2. Step 2: Convert to fraction form
    138,632.76/207,965.40 = 48,648/x
  3. Step 3: Cross multiply
    138,632.76x = 207,965.40 × 48,648
  4. Step 4: Simplify right side
    138,632.76x = 10,117,100,779.20
  5. Step 5: Solve for x
    x = 10,117,100,779.20/138,632.76
  6. Step 6: Final answer
    x = 72,977.71

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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.