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Finding the Fourth Proportional to 258,064.25, 356,156.75 and 156,145.95

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Solution

The fourth proportional to 258,064.25, 356,156.75 and 156,145.95 is: 215,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,064.25 : 356,156.75 = 156,145.95 : x
  2. Step 2: Convert to fraction form
    258,064.25/356,156.75 = 156,145.95/x
  3. Step 3: Cross multiply
    258,064.25x = 356,156.75 × 156,145.95
  4. Step 4: Simplify right side
    258,064.25x = 55,612,434,591.40
  5. Step 5: Solve for x
    x = 55,612,434,591.40/258,064.25
  6. Step 6: Final answer
    x = 215,498.40

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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.