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Finding the Fourth Proportional to 81,956, 113,098.92 and 46,146.08

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Solution

The fourth proportional to 81,956, 113,098.92 and 46,146.08 is: 63,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,956 : 113,098.92 = 46,146.08 : x
  2. Step 2: Convert to fraction form
    81,956/113,098.92 = 46,146.08/x
  3. Step 3: Cross multiply
    81,956x = 113,098.92 × 46,146.08
  4. Step 4: Simplify right side
    81,956x = 5,219,071,810.23
  5. Step 5: Solve for x
    x = 5,219,071,810.23/81,956
  6. Step 6: Final answer
    x = 63,681.39

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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.