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Finding the Fourth Proportional to 81,345.78, 112,199.31 and 74,653.02

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Solution

The fourth proportional to 81,345.78, 112,199.31 and 74,653.02 is: 102,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,345.78 : 112,199.31 = 74,653.02 : x
  2. Step 2: Convert to fraction form
    81,345.78/112,199.31 = 74,653.02/x
  3. Step 3: Cross multiply
    81,345.78x = 112,199.31 × 74,653.02
  4. Step 4: Simplify right side
    81,345.78x = 8,376,017,333.42
  5. Step 5: Solve for x
    x = 8,376,017,333.42/81,345.78
  6. Step 6: Final answer
    x = 102,968.06

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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.