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Finding the Fourth Proportional to 74,119.40, 102,214.76 and 48,647.86

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Solution

The fourth proportional to 74,119.40, 102,214.76 and 48,647.86 is: 67,088.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,119.40 : 102,214.76 = 48,647.86 : x
  2. Step 2: Convert to fraction form
    74,119.40/102,214.76 = 48,647.86/x
  3. Step 3: Cross multiply
    74,119.40x = 102,214.76 × 48,647.86
  4. Step 4: Simplify right side
    74,119.40x = 4,972,529,324.89
  5. Step 5: Solve for x
    x = 4,972,529,324.89/74,119.40
  6. Step 6: Final answer
    x = 67,088.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.