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Finding the Fourth Proportional to 145,542.89, 200,832.93 and 81,879.32

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Solution

The fourth proportional to 145,542.89, 200,832.93 and 81,879.32 is: 112,984.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,542.89 : 200,832.93 = 81,879.32 : x
  2. Step 2: Convert to fraction form
    145,542.89/200,832.93 = 81,879.32/x
  3. Step 3: Cross multiply
    145,542.89x = 200,832.93 × 81,879.32
  4. Step 4: Simplify right side
    145,542.89x = 16,444,062,737.84
  5. Step 5: Solve for x
    x = 16,444,062,737.84/145,542.89
  6. Step 6: Final answer
    x = 112,984.31

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1.5x scale

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.