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Finding the Fourth Proportional to 149,300.97, 205,969.95 and 98,248.02

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Solution

The fourth proportional to 149,300.97, 205,969.95 and 98,248.02 is: 135,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,300.97 : 205,969.95 = 98,248.02 : x
  2. Step 2: Convert to fraction form
    149,300.97/205,969.95 = 98,248.02/x
  3. Step 3: Cross multiply
    149,300.97x = 205,969.95 × 98,248.02
  4. Step 4: Simplify right side
    149,300.97x = 20,236,139,767.00
  5. Step 5: Solve for x
    x = 20,236,139,767.00/149,300.97
  6. Step 6: Final answer
    x = 135,539.24

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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.