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Finding the Fourth Proportional to 106,746.56, 147,212.32 and 64,231.28

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Solution

The fourth proportional to 106,746.56, 147,212.32 and 64,231.28 is: 88,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,746.56 : 147,212.32 = 64,231.28 : x
  2. Step 2: Convert to fraction form
    106,746.56/147,212.32 = 64,231.28/x
  3. Step 3: Cross multiply
    106,746.56x = 147,212.32 × 64,231.28
  4. Step 4: Simplify right side
    106,746.56x = 9,455,635,745.37
  5. Step 5: Solve for x
    x = 9,455,635,745.37/106,746.56
  6. Step 6: Final answer
    x = 88,580.24

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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.