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Finding the Fourth Proportional to 161,428, 222,759.78 and 89,805.40

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Solution

The fourth proportional to 161,428, 222,759.78 and 89,805.40 is: 123,925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,428 : 222,759.78 = 89,805.40 : x
  2. Step 2: Convert to fraction form
    161,428/222,759.78 = 89,805.40/x
  3. Step 3: Cross multiply
    161,428x = 222,759.78 × 89,805.40
  4. Step 4: Simplify right side
    161,428x = 20,005,031,146.81
  5. Step 5: Solve for x
    x = 20,005,031,146.81/161,428
  6. Step 6: Final answer
    x = 123,925.41

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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.