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Finding the Fourth Proportional to 161,306, 222,602.28 and 90,650

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Solution

The fourth proportional to 161,306, 222,602.28 and 90,650 is: 125,097

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,306 : 222,602.28 = 90,650 : x
  2. Step 2: Convert to fraction form
    161,306/222,602.28 = 90,650/x
  3. Step 3: Cross multiply
    161,306x = 222,602.28 × 90,650
  4. Step 4: Simplify right side
    161,306x = 20,178,896,682
  5. Step 5: Solve for x
    x = 20,178,896,682/161,306
  6. Step 6: Final answer
    x = 125,097

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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.