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Finding the Fourth Proportional to 107,110, 147,750.24 and 66,804.40

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Solution

The fourth proportional to 107,110, 147,750.24 and 66,804.40 is: 92,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,110 : 147,750.24 = 66,804.40 : x
  2. Step 2: Convert to fraction form
    107,110/147,750.24 = 66,804.40/x
  3. Step 3: Cross multiply
    107,110x = 147,750.24 × 66,804.40
  4. Step 4: Simplify right side
    107,110x = 9,870,366,133.06
  5. Step 5: Solve for x
    x = 9,870,366,133.06/107,110
  6. Step 6: Final answer
    x = 92,151.68

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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.