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Finding the Fourth Proportional to 258,734.28, 388,117.80 and 81,248.28

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Solution

The fourth proportional to 258,734.28, 388,117.80 and 81,248.28 is: 121,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,734.28 : 388,117.80 = 81,248.28 : x
  2. Step 2: Convert to fraction form
    258,734.28/388,117.80 = 81,248.28/x
  3. Step 3: Cross multiply
    258,734.28x = 388,117.80 × 81,248.28
  4. Step 4: Simplify right side
    258,734.28x = 31,533,903,687.38
  5. Step 5: Solve for x
    x = 31,533,903,687.38/258,734.28
  6. Step 6: Final answer
    x = 121,877.56

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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.