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Finding the Fourth Proportional to 48,413, 72,619.50 and 15,581

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Solution

The fourth proportional to 48,413, 72,619.50 and 15,581 is: 23,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,413 : 72,619.50 = 15,581 : x
  2. Step 2: Convert to fraction form
    48,413/72,619.50 = 15,581/x
  3. Step 3: Cross multiply
    48,413x = 72,619.50 × 15,581
  4. Step 4: Simplify right side
    48,413x = 1,131,484,429.50
  5. Step 5: Solve for x
    x = 1,131,484,429.50/48,413
  6. Step 6: Final answer
    x = 23,371.50

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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.