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Finding the Fourth Proportional to 153,709.21, 230,642.22 and 103,684.47

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Solution

The fourth proportional to 153,709.21, 230,642.22 and 103,684.47 is: 155,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,709.21 : 230,642.22 = 103,684.47 : x
  2. Step 2: Convert to fraction form
    153,709.21/230,642.22 = 103,684.47/x
  3. Step 3: Cross multiply
    153,709.21x = 230,642.22 × 103,684.47
  4. Step 4: Simplify right side
    153,709.21x = 23,914,016,340.32
  5. Step 5: Solve for x
    x = 23,914,016,340.32/153,709.21
  6. Step 6: Final answer
    x = 155,579.59

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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.