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Finding the Fourth Proportional to 81,807.40, 112,965.78 and 51,646.60

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Solution

The fourth proportional to 81,807.40, 112,965.78 and 51,646.60 is: 71,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,807.40 : 112,965.78 = 51,646.60 : x
  2. Step 2: Convert to fraction form
    81,807.40/112,965.78 = 51,646.60/x
  3. Step 3: Cross multiply
    81,807.40x = 112,965.78 × 51,646.60
  4. Step 4: Simplify right side
    81,807.40x = 5,834,298,453.35
  5. Step 5: Solve for x
    x = 5,834,298,453.35/81,807.40
  6. Step 6: Final answer
    x = 71,317.49

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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.