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Finding the Fourth Proportional to 145,539.99, 200,844.36 and 81,878.31

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Solution

The fourth proportional to 145,539.99, 200,844.36 and 81,878.31 is: 112,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,539.99 : 200,844.36 = 81,878.31 : x
  2. Step 2: Convert to fraction form
    145,539.99/200,844.36 = 81,878.31/x
  3. Step 3: Cross multiply
    145,539.99x = 200,844.36 × 81,878.31
  4. Step 4: Simplify right side
    145,539.99x = 16,444,796,769.83
  5. Step 5: Solve for x
    x = 16,444,796,769.83/145,539.99
  6. Step 6: Final answer
    x = 112,991.60

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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.