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Finding the Fourth Proportional to 89,548.32, 123,578.78 and 49,264.32

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Solution

The fourth proportional to 89,548.32, 123,578.78 and 49,264.32 is: 67,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,548.32 : 123,578.78 = 49,264.32 : x
  2. Step 2: Convert to fraction form
    89,548.32/123,578.78 = 49,264.32/x
  3. Step 3: Cross multiply
    89,548.32x = 123,578.78 × 49,264.32
  4. Step 4: Simplify right side
    89,548.32x = 6,088,024,563.13
  5. Step 5: Solve for x
    x = 6,088,024,563.13/89,548.32
  6. Step 6: Final answer
    x = 67,985.92

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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.