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Finding the Fourth Proportional to 144,782.40, 217,202.40 and 121,569.60

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Solution

The fourth proportional to 144,782.40, 217,202.40 and 121,569.60 is: 182,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,782.40 : 217,202.40 = 121,569.60 : x
  2. Step 2: Convert to fraction form
    144,782.40/217,202.40 = 121,569.60/x
  3. Step 3: Cross multiply
    144,782.40x = 217,202.40 × 121,569.60
  4. Step 4: Simplify right side
    144,782.40x = 26,405,208,887.04
  5. Step 5: Solve for x
    x = 26,405,208,887.04/144,782.40
  6. Step 6: Final answer
    x = 182,378.58

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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.