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Finding the Fourth Proportional to 106,858.32, 147,469.86 and 64,430.52

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Solution

The fourth proportional to 106,858.32, 147,469.86 and 64,430.52 is: 88,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,858.32 : 147,469.86 = 64,430.52 : x
  2. Step 2: Convert to fraction form
    106,858.32/147,469.86 = 64,430.52/x
  3. Step 3: Cross multiply
    106,858.32x = 147,469.86 × 64,430.52
  4. Step 4: Simplify right side
    106,858.32x = 9,501,559,764.13
  5. Step 5: Solve for x
    x = 9,501,559,764.13/106,858.32
  6. Step 6: Final answer
    x = 88,917.36

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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.