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Finding the Fourth Proportional to 153,515.92, 229,940.58 and 74,464

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Solution

The fourth proportional to 153,515.92, 229,940.58 and 74,464 is: 111,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,515.92 : 229,940.58 = 74,464 : x
  2. Step 2: Convert to fraction form
    153,515.92/229,940.58 = 74,464/x
  3. Step 3: Cross multiply
    153,515.92x = 229,940.58 × 74,464
  4. Step 4: Simplify right side
    153,515.92x = 17,122,295,349.12
  5. Step 5: Solve for x
    x = 17,122,295,349.12/153,515.92
  6. Step 6: Final answer
    x = 111,534.33

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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.