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Finding the Fourth Proportional to 48,438, 72,681.72 and 19,995.96

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Solution

The fourth proportional to 48,438, 72,681.72 and 19,995.96 is: 30,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,438 : 72,681.72 = 19,995.96 : x
  2. Step 2: Convert to fraction form
    48,438/72,681.72 = 19,995.96/x
  3. Step 3: Cross multiply
    48,438x = 72,681.72 × 19,995.96
  4. Step 4: Simplify right side
    48,438x = 1,453,340,765.85
  5. Step 5: Solve for x
    x = 1,453,340,765.85/48,438
  6. Step 6: Final answer
    x = 30,004.14

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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.