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Finding the Fourth Proportional to 144,522, 199,660.32 and 115,513.20

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Solution

The fourth proportional to 144,522, 199,660.32 and 115,513.20 is: 159,584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,522 : 199,660.32 = 115,513.20 : x
  2. Step 2: Convert to fraction form
    144,522/199,660.32 = 115,513.20/x
  3. Step 3: Cross multiply
    144,522x = 199,660.32 × 115,513.20
  4. Step 4: Simplify right side
    144,522x = 23,063,402,476.22
  5. Step 5: Solve for x
    x = 23,063,402,476.22/144,522
  6. Step 6: Final answer
    x = 159,584.03

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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.