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Finding the Fourth Proportional to 48,009.60, 72,014.40 and 12,949.29

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Solution

The fourth proportional to 48,009.60, 72,014.40 and 12,949.29 is: 19,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,009.60 : 72,014.40 = 12,949.29 : x
  2. Step 2: Convert to fraction form
    48,009.60/72,014.40 = 12,949.29/x
  3. Step 3: Cross multiply
    48,009.60x = 72,014.40 × 12,949.29
  4. Step 4: Simplify right side
    48,009.60x = 932,535,349.78
  5. Step 5: Solve for x
    x = 932,535,349.78/48,009.60
  6. Step 6: Final answer
    x = 19,423.94

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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.