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Finding the Fourth Proportional to 99,115.32, 136,745.64 and 56,643.60

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Solution

The fourth proportional to 99,115.32, 136,745.64 and 56,643.60 is: 78,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,115.32 : 136,745.64 = 56,643.60 : x
  2. Step 2: Convert to fraction form
    99,115.32/136,745.64 = 56,643.60/x
  3. Step 3: Cross multiply
    99,115.32x = 136,745.64 × 56,643.60
  4. Step 4: Simplify right side
    99,115.32x = 7,745,765,333.90
  5. Step 5: Solve for x
    x = 7,745,765,333.90/99,115.32
  6. Step 6: Final answer
    x = 78,149.02

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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.