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Finding the Fourth Proportional to 89,646.64, 123,706.92 and 51,913.60

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Solution

The fourth proportional to 89,646.64, 123,706.92 and 51,913.60 is: 71,637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,646.64 : 123,706.92 = 51,913.60 : x
  2. Step 2: Convert to fraction form
    89,646.64/123,706.92 = 51,913.60/x
  3. Step 3: Cross multiply
    89,646.64x = 123,706.92 × 51,913.60
  4. Step 4: Simplify right side
    89,646.64x = 6,422,071,562.11
  5. Step 5: Solve for x
    x = 6,422,071,562.11/89,646.64
  6. Step 6: Final answer
    x = 71,637.62

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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.