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Finding the Fourth Proportional to 251,261, 377,064.30 and 103,517

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Solution

The fourth proportional to 251,261, 377,064.30 and 103,517 is: 155,346.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,261 : 377,064.30 = 103,517 : x
  2. Step 2: Convert to fraction form
    251,261/377,064.30 = 103,517/x
  3. Step 3: Cross multiply
    251,261x = 377,064.30 × 103,517
  4. Step 4: Simplify right side
    251,261x = 39,032,565,143.10
  5. Step 5: Solve for x
    x = 39,032,565,143.10/251,261
  6. Step 6: Final answer
    x = 155,346.69

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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.