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Finding the Fourth Proportional to 123,643.10, 185,428.20 and 48,738.35

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Solution

The fourth proportional to 123,643.10, 185,428.20 and 48,738.35 is: 73,093.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,643.10 : 185,428.20 = 48,738.35 : x
  2. Step 2: Convert to fraction form
    123,643.10/185,428.20 = 48,738.35/x
  3. Step 3: Cross multiply
    123,643.10x = 185,428.20 × 48,738.35
  4. Step 4: Simplify right side
    123,643.10x = 9,037,464,511.47
  5. Step 5: Solve for x
    x = 9,037,464,511.47/123,643.10
  6. Step 6: Final answer
    x = 73,093.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.