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Finding the Fourth Proportional to 72,038.86, 99,410.43 and 41,821.81

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Solution

The fourth proportional to 72,038.86, 99,410.43 and 41,821.81 is: 57,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,038.86 : 99,410.43 = 41,821.81 : x
  2. Step 2: Convert to fraction form
    72,038.86/99,410.43 = 41,821.81/x
  3. Step 3: Cross multiply
    72,038.86x = 99,410.43 × 41,821.81
  4. Step 4: Simplify right side
    72,038.86x = 4,157,524,115.48
  5. Step 5: Solve for x
    x = 4,157,524,115.48/72,038.86
  6. Step 6: Final answer
    x = 57,712.24

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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.