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Finding the Fourth Proportional to 145,542.60, 200,834.51 and 81,879.03

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Solution

The fourth proportional to 145,542.60, 200,834.51 and 81,879.03 is: 112,985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,542.60 : 200,834.51 = 81,879.03 : x
  2. Step 2: Convert to fraction form
    145,542.60/200,834.51 = 81,879.03/x
  3. Step 3: Cross multiply
    145,542.60x = 200,834.51 × 81,879.03
  4. Step 4: Simplify right side
    145,542.60x = 16,444,134,459.93
  5. Step 5: Solve for x
    x = 16,444,134,459.93/145,542.60
  6. Step 6: Final answer
    x = 112,985.03

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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.