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Finding the Fourth Proportional to 149,248.80, 205,964.76 and 85,574.28

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Solution

The fourth proportional to 149,248.80, 205,964.76 and 85,574.28 is: 118,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,248.80 : 205,964.76 = 85,574.28 : x
  2. Step 2: Convert to fraction form
    149,248.80/205,964.76 = 85,574.28/x
  3. Step 3: Cross multiply
    149,248.80x = 205,964.76 × 85,574.28
  4. Step 4: Simplify right side
    149,248.80x = 17,625,286,042.37
  5. Step 5: Solve for x
    x = 17,625,286,042.37/149,248.80
  6. Step 6: Final answer
    x = 118,093.32

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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.