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Finding the Fourth Proportional to 159,830.53, 220,536.60 and 102,480.10

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Solution

The fourth proportional to 159,830.53, 220,536.60 and 102,480.10 is: 141,403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,830.53 : 220,536.60 = 102,480.10 : x
  2. Step 2: Convert to fraction form
    159,830.53/220,536.60 = 102,480.10/x
  3. Step 3: Cross multiply
    159,830.53x = 220,536.60 × 102,480.10
  4. Step 4: Simplify right side
    159,830.53x = 22,600,612,821.66
  5. Step 5: Solve for x
    x = 22,600,612,821.66/159,830.53
  6. Step 6: Final answer
    x = 141,403.60

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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.