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Finding the Fourth Proportional to 107,120, 147,764.04 and 66,814.40

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Solution

The fourth proportional to 107,120, 147,764.04 and 66,814.40 is: 92,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,120 : 147,764.04 = 66,814.40 : x
  2. Step 2: Convert to fraction form
    107,120/147,764.04 = 66,814.40/x
  3. Step 3: Cross multiply
    107,120x = 147,764.04 × 66,814.40
  4. Step 4: Simplify right side
    107,120x = 9,872,765,674.18
  5. Step 5: Solve for x
    x = 9,872,765,674.18/107,120
  6. Step 6: Final answer
    x = 92,165.47

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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.