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Finding the Fourth Proportional to 153,733.60, 230,643.60 and 74,850.40

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Solution

The fourth proportional to 153,733.60, 230,643.60 and 74,850.40 is: 112,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,733.60 : 230,643.60 = 74,850.40 : x
  2. Step 2: Convert to fraction form
    153,733.60/230,643.60 = 74,850.40/x
  3. Step 3: Cross multiply
    153,733.60x = 230,643.60 × 74,850.40
  4. Step 4: Simplify right side
    153,733.60x = 17,263,765,717.44
  5. Step 5: Solve for x
    x = 17,263,765,717.44/153,733.60
  6. Step 6: Final answer
    x = 112,296.63

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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.