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Finding the Fourth Proportional to 104,065.81, 143,610.82 and 56,319.16

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Solution

The fourth proportional to 104,065.81, 143,610.82 and 56,319.16 is: 77,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,065.81 : 143,610.82 = 56,319.16 : x
  2. Step 2: Convert to fraction form
    104,065.81/143,610.82 = 56,319.16/x
  3. Step 3: Cross multiply
    104,065.81x = 143,610.82 × 56,319.16
  4. Step 4: Simplify right side
    104,065.81x = 8,088,039,749.66
  5. Step 5: Solve for x
    x = 8,088,039,749.66/104,065.81
  6. Step 6: Final answer
    x = 77,720.43

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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.