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Finding the Fourth Proportional to 137,735.52, 190,059.36 and 77,293.68

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Solution

The fourth proportional to 137,735.52, 190,059.36 and 77,293.68 is: 106,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,735.52 : 190,059.36 = 77,293.68 : x
  2. Step 2: Convert to fraction form
    137,735.52/190,059.36 = 77,293.68/x
  3. Step 3: Cross multiply
    137,735.52x = 190,059.36 × 77,293.68
  4. Step 4: Simplify right side
    137,735.52x = 14,690,387,352.84
  5. Step 5: Solve for x
    x = 14,690,387,352.84/137,735.52
  6. Step 6: Final answer
    x = 106,656.49

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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.