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Finding the Fourth Proportional to 153,538.80, 229,919.40 and 113,881.20

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Solution

The fourth proportional to 153,538.80, 229,919.40 and 113,881.20 is: 170,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,538.80 : 229,919.40 = 113,881.20 : x
  2. Step 2: Convert to fraction form
    153,538.80/229,919.40 = 113,881.20/x
  3. Step 3: Cross multiply
    153,538.80x = 229,919.40 × 113,881.20
  4. Step 4: Simplify right side
    153,538.80x = 26,183,497,175.28
  5. Step 5: Solve for x
    x = 26,183,497,175.28/153,538.80
  6. Step 6: Final answer
    x = 170,533.42

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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.