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Finding the Fourth Proportional to 161,602.29, 223,007.78 and 89,007.26

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Solution

The fourth proportional to 161,602.29, 223,007.78 and 89,007.26 is: 122,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,602.29 : 223,007.78 = 89,007.26 : x
  2. Step 2: Convert to fraction form
    161,602.29/223,007.78 = 89,007.26/x
  3. Step 3: Cross multiply
    161,602.29x = 223,007.78 × 89,007.26
  4. Step 4: Simplify right side
    161,602.29x = 19,849,310,563.96
  5. Step 5: Solve for x
    x = 19,849,310,563.96/161,602.29
  6. Step 6: Final answer
    x = 122,828.15

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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.