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Finding the Fourth Proportional to 89,739.48, 123,839 and 48,904.16

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Solution

The fourth proportional to 89,739.48, 123,839 and 48,904.16 is: 67,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,739.48 : 123,839 = 48,904.16 : x
  2. Step 2: Convert to fraction form
    89,739.48/123,839 = 48,904.16/x
  3. Step 3: Cross multiply
    89,739.48x = 123,839 × 48,904.16
  4. Step 4: Simplify right side
    89,739.48x = 6,056,242,270.24
  5. Step 5: Solve for x
    x = 6,056,242,270.24/89,739.48
  6. Step 6: Final answer
    x = 67,486.93

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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.