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Finding the Fourth Proportional to 48,648.86, 72,980.80 and 20,569.01

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Solution

The fourth proportional to 48,648.86, 72,980.80 and 20,569.01 is: 30,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,648.86 : 72,980.80 = 20,569.01 : x
  2. Step 2: Convert to fraction form
    48,648.86/72,980.80 = 20,569.01/x
  3. Step 3: Cross multiply
    48,648.86x = 72,980.80 × 20,569.01
  4. Step 4: Simplify right side
    48,648.86x = 1,501,142,388.68
  5. Step 5: Solve for x
    x = 1,501,142,388.68/48,648.86
  6. Step 6: Final answer
    x = 30,856.68

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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.