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Finding the Fourth Proportional to 217,357.68, 299,978.22 and 144,756.60

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Solution

The fourth proportional to 217,357.68, 299,978.22 and 144,756.60 is: 199,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,357.68 : 299,978.22 = 144,756.60 : x
  2. Step 2: Convert to fraction form
    217,357.68/299,978.22 = 144,756.60/x
  3. Step 3: Cross multiply
    217,357.68x = 299,978.22 × 144,756.60
  4. Step 4: Simplify right side
    217,357.68x = 43,423,827,201.25
  5. Step 5: Solve for x
    x = 43,423,827,201.25/217,357.68
  6. Step 6: Final answer
    x = 199,780.51

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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.