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Finding the Fourth Proportional to 99,458.84, 137,249.16 and 56,987.84

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Solution

The fourth proportional to 99,458.84, 137,249.16 and 56,987.84 is: 78,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,458.84 : 137,249.16 = 56,987.84 : x
  2. Step 2: Convert to fraction form
    99,458.84/137,249.16 = 56,987.84/x
  3. Step 3: Cross multiply
    99,458.84x = 137,249.16 × 56,987.84
  4. Step 4: Simplify right side
    99,458.84x = 7,821,533,170.21
  5. Step 5: Solve for x
    x = 7,821,533,170.21/99,458.84
  6. Step 6: Final answer
    x = 78,640.90

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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.