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Finding the Fourth Proportional to 145,542.16, 200,847.81 and 81,879.99

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Solution

The fourth proportional to 145,542.16, 200,847.81 and 81,879.99 is: 112,994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,542.16 : 200,847.81 = 81,879.99 : x
  2. Step 2: Convert to fraction form
    145,542.16/200,847.81 = 81,879.99/x
  3. Step 3: Cross multiply
    145,542.16x = 200,847.81 × 81,879.99
  4. Step 4: Simplify right side
    145,542.16x = 16,445,416,674.32
  5. Step 5: Solve for x
    x = 16,445,416,674.32/145,542.16
  6. Step 6: Final answer
    x = 112,994.18

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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.