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Finding the Fourth Proportional to 147,912.60, 222,008.10 and 77,842.20

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Solution

The fourth proportional to 147,912.60, 222,008.10 and 77,842.20 is: 116,836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,912.60 : 222,008.10 = 77,842.20 : x
  2. Step 2: Convert to fraction form
    147,912.60/222,008.10 = 77,842.20/x
  3. Step 3: Cross multiply
    147,912.60x = 222,008.10 × 77,842.20
  4. Step 4: Simplify right side
    147,912.60x = 17,281,598,921.82
  5. Step 5: Solve for x
    x = 17,281,598,921.82/147,912.60
  6. Step 6: Final answer
    x = 116,836.56

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1.5x scale

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.