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Finding the Fourth Proportional to 159,748.80, 220,355.64 and 102,368.79

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Solution

The fourth proportional to 159,748.80, 220,355.64 and 102,368.79 is: 141,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,748.80 : 220,355.64 = 102,368.79 : x
  2. Step 2: Convert to fraction form
    159,748.80/220,355.64 = 102,368.79/x
  3. Step 3: Cross multiply
    159,748.80x = 220,355.64 × 102,368.79
  4. Step 4: Simplify right side
    159,748.80x = 22,557,540,236.48
  5. Step 5: Solve for x
    x = 22,557,540,236.48/159,748.80
  6. Step 6: Final answer
    x = 141,206.32

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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.