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Finding the Fourth Proportional to 89,468.64, 123,466.68 and 49,185

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Solution

The fourth proportional to 89,468.64, 123,466.68 and 49,185 is: 67,875.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,468.64 : 123,466.68 = 49,185 : x
  2. Step 2: Convert to fraction form
    89,468.64/123,466.68 = 49,185/x
  3. Step 3: Cross multiply
    89,468.64x = 123,466.68 × 49,185
  4. Step 4: Simplify right side
    89,468.64x = 6,072,708,655.80
  5. Step 5: Solve for x
    x = 6,072,708,655.80/89,468.64
  6. Step 6: Final answer
    x = 67,875.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.