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Finding the Fourth Proportional to 107,752.61, 161,778 and 74,390.33

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Solution

The fourth proportional to 107,752.61, 161,778 and 74,390.33 is: 111,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,752.61 : 161,778 = 74,390.33 : x
  2. Step 2: Convert to fraction form
    107,752.61/161,778 = 74,390.33/x
  3. Step 3: Cross multiply
    107,752.61x = 161,778 × 74,390.33
  4. Step 4: Simplify right side
    107,752.61x = 12,034,718,806.74
  5. Step 5: Solve for x
    x = 12,034,718,806.74/107,752.61
  6. Step 6: Final answer
    x = 111,688.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.