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Finding the Fourth Proportional to 161,428, 222,710.48 and 100,975.68

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Solution

The fourth proportional to 161,428, 222,710.48 and 100,975.68 is: 139,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,428 : 222,710.48 = 100,975.68 : x
  2. Step 2: Convert to fraction form
    161,428/222,710.48 = 100,975.68/x
  3. Step 3: Cross multiply
    161,428x = 222,710.48 × 100,975.68
  4. Step 4: Simplify right side
    161,428x = 22,488,342,161.13
  5. Step 5: Solve for x
    x = 22,488,342,161.13/161,428
  6. Step 6: Final answer
    x = 139,308.81

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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.